Michael Röckner

PEVZ-ID
10585

322 Publikationen

Alle markieren

  • [322]
    2024 | Preprint | Eingereicht | PUB-ID: 2993301
    Herr, S., Röckner, M., Spitz, M., Zhang, D.: The energy-critical stochastic Zakharov system. (Submitted).
    PUB | arXiv
     
  • [321]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2994175
    Gess, B., Röckner, M., Wu, W.: SVI solutions to stochastic nonlinear diffusion equations on general measure spaces. Journal of Evolution Equations. 24, : 94 (2024).
    PUB | DOI | WoS
     
  • [320]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993907
    Barbu, V., Röckner, M.: Markov Processes Associated with Nonlinear Fokker-Planck Equations. In: Morel, J.-M., Tong, K., and Teissier, B. (eds.) Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Lecture Notes in Mathematics. 2353, p. 189-195. Springer , Cham (2024).
    PUB | DOI | WoS
     
  • [319]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993906
    Barbu, V., Röckner, M.: Time Dependent Fokker-Planck Equations. In: Morel, J.-M., Tong, K., and Teissier, B. (eds.) Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Lecture Notes in Mathematics. 2353, p. 123-145. Springer , Cham (2024).
    PUB | DOI | WoS
     
  • [318]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993905
    Barbu, V., Röckner, M.: Appendix. In: Morel, J.-M., Tong, K., and Teissier, B. (eds.) Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts . Lecture Notes in Mathematics. 2353, p. 197-203. Springer , Cham (2024).
    PUB | DOI | WoS
     
  • [317]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993902
    Barbu, V., Röckner, M.: Convergence to Equilibrium of Nonlinear Fokker-Planck Flows. In: Morel, J.-M., Tong, K., and Teissier, B. (eds.) Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Lecture Notes in Mathematics. 2353, p. 147-188. Springer , Cham (2024).
    PUB | DOI | WoS
     
  • [316]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993899
    Barbu, V., Röckner, M.: Existence of Nonlinear Fokker-Planck Flows. In: Morel, J.-M., Tong, K., and Teissier, B. (eds.) Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Lecture Notes in Mathematics. 2353, p. 13-122. Springer , Cham (2024).
    PUB | DOI | WoS
     
  • [315]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993901
    Barbu, V., Röckner, M.: Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Introduction. In: Morel, J.-M., Tong, K., and Teissier, B. (eds.) Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Lecture Notes in Mathematics. 2353, p. 1-11. Springer , Cham (2024).
    PUB | DOI | WoS
     
  • [314]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993900
    Barbu, V., Röckner, M.: Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Preface. In: Morel, J.-M., Tong, K., and Teissier, B. (eds.) Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts . Lecture Notes in Mathematics. 2353, p. v-vi. Springer , Cham (2024).
    PUB | DOI | WoS
     
  • [313]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2992558
    da Silva, J.L., Erraoui, M., Röckner, M.: Cameron-Martin type theorem for a class of non-Gaussian measures. Stochastic Analysis and Applications . (2024).
    PUB | DOI | WoS
     
  • [312]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2992227 OA
    Goldys, B., Nendel, M., Röckner, M.: Operator semigroups in the mixed topology and the infinitesimal description of Markov processes. JOURNAL OF DIFFERENTIAL EQUATIONS. 412, 23-86 (2024).
    PUB | PDF | DOI | WoS
     
  • [311]
    2024 | Diskussionspapier | Veröffentlicht | PUB-ID: 2990509 OA
    Federico, S., Ferrari, G., Riedel, F., Röckner, M.: Variational Inequalities and Smooth-Fit Principle for Singular Stochastic Control Problems in Hilbert Spaces. Center for Mathematical Economics Working Papers, 692. Center for Mathematical Economics, Bielefeld (2024).
    PUB | PDF
     
  • [310]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2990414
    Beznea, C., Beznea, L., Röckner, M.: Nonlinear Dirichlet Forms Associated with Quasiregular Mappings. Potential Analysis. (2024).
    PUB | DOI | WoS
     
  • [309]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990406
    Cheng, M., Hao, Z., Röckner, M.: Strong and weak convergence for the averaging principle of DDSDE with singular drift. Bernoulli. 30, 1586-1610 (2024).
    PUB | DOI | WoS
     
  • [308]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2988956
    Barbu, V., Röckner, M.: Nonlinear Fokker-Planck equations with fractional Laplacian and McKean-Vlasov SDEs with Lévy noise. Probability Theory and Related Fields. (2024).
    PUB | DOI | WoS
     
  • [307]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2988486
    Röckner, M., Shang, S., Zhang, T.: Well-posedness of stochastic partial differential equations with fully local monotone coefficients. Mathematische Annalen . (2024).
    PUB | DOI | WoS
     
  • [306]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988477
    Hao, Z., Röckner, M., Zhang, X.: Strong Convergence of Propagation of Chaos for McKean–Vlasov SDEs with Singular Interactions. SIAM Journal on Mathematical Analysis . 56, 2661-2713 (2024).
    PUB | DOI | WoS
     
  • [305]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2988233
    Röckner, M., Wu, W., Xie, Y.: Stochastic Generalized Porous Media Equations Over σ-finiteMeasure Spaces with Non-continuous Diffusivity Function. Potential Analysis. (2024).
    PUB | DOI | WoS
     
  • [304]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979256 OA
    Röckner, M., Su, Y., Zhang, D.: Multi solitary waves to stochastic nonlinear Schrodinger equations. Probability Theory and Related Fields. 186, 64 (2023).
    PUB | PDF | DOI | WoS
     
  • [303]
    2023 | Preprint | Angenommen | PUB-ID: 2967998
    Herr, S., Röckner, M., Spitz, M., Zhang, D.: The three dimensional stochastic Zakharov system. The Annals of Probability. (Accepted).
    PUB | arXiv
     
  • [302]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2987158
    Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: Kolmogorov Problems on Equations for Stationary and Transition Probabilities of Diffusion Processes. Theory of Probability and its Applications. 68, 342-369 (2023).
    PUB | DOI | WoS
     
  • [301]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2985875
    Li, L., Röckner, M.: On the Restriction of a Right Process Outside a Negligible Set. Potential Analysis . (2023).
    PUB | DOI | WoS
     
  • [300]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2983730
    Röckner, M., Su, Y., Zhang, D.: Multi-bubble Bourgain-Wang solutions to nonlinear Schrödinger equations. Transactions of the American Mathematical Society. (2023).
    PUB | DOI | WoS
     
  • [299]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2983736
    Röckner, M., Xie, L., Yang, L.: Asymptotic behavior of multiscale stochastic partial differential equations with Hölder coefficients . Journal of Functional Analysis. 285, : 110103 (2023).
    PUB | DOI | WoS
     
  • [298]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982786
    Barbu, V., Röckner, M.: The Evolution to Equilibrium of Solutions to Nonlinear Fokker-Planck Equation. Indiana University Mathematics Journal . 72, 89-131 (2023).
    PUB | DOI | WoS
     
  • [297]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982779
    Barbu, V., Röckner, M.: Nonlinear Fokker–Planck Equations with Time-Dependent Coefficients. SIAM Journal on Mathematical Analysis. 55, 1-18 (2023).
    PUB | DOI | WoS
     
  • [296]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982418
    Albeverio, S., Kawabi, H., Ihalache, S.-R., Röckner, M.: Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze. 24, 33-69 (2023).
    PUB | WoS
     
  • [295]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2982408
    Barbu, V., Röckner, M., Zhang, D.: Recent Progress on Multi-bubble Blow-ups and Multi-solitons to (Stochastic) Focusing Nonlinear Schrodinger Equations. Vietnam Journal of Mathematics . (2023).
    PUB | DOI | WoS
     
  • [294]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980948
    Cheng, M., Liu, Z., Röckner, M.: Averaging principle for stochastic complex Ginzburg-Landau equations. Journal of Differential Equations. 368, 58-104 (2023).
    PUB | DOI | WoS
     
  • [293]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2980277
    Beznea, L., Cimpean, I., Röckner, M.: Strong Feller semigroups and Markov processes: a counterexample. Stochastics and Partial Differential Equations : Analysis and Computations . (2023).
    PUB | DOI | WoS
     
  • [292]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980007
    Barbu, V., Röckner, M.: Uniqueness for nonlinear Fokker-Planck equations and for McKean-Vlasov SDEs: The degenerate case. Journal of Functional Analysis. 285, : 109980 (2023).
    PUB | DOI | WoS
     
  • [291]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979711
    Kozitsky, Y., Röckner, M.: A Markov process for a continuum infinite particle system with attraction*. Electronic Journal of Probability . 28, 1-59 (2023).
    PUB | DOI | WoS
     
  • [290]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2978304
    Liu, W., Röckner, M., Sun, X., Xie, Y.: Strong Averaging Principle for Slow-Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients. Applied Mathematics and Optimization . 87, : 39 (2023).
    PUB | DOI | WoS
     
  • [289]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969519
    Röckner, M., Zhao, G.: SDEs with critical time dependent drifts: Weak solutions. Bernoulli . 29, 757-784 (2023).
    PUB | DOI | WoS
     
  • [288]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969174
    Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: Applications of Zvonkin's Transform to Stationary Kolmogorov Equations. Doklady Mathematics. 106, 318-321 (2022).
    PUB | DOI | WoS
     
  • [287]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2967252
    Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: Zvonkin's transform and the regularity of solutions to double divergence form elliptic equations. Communications in Partial Differential Equations . (2022).
    PUB | DOI | WoS
     
  • [286]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2965241
    Banas, L., Röckner, M., Wilke, A.: Correction to: Convergent numerical approximation of the stochastic total variation flow (vol 9, pg 437, 2021). Stochastics and Partial Differential Equations : Analysis and Computations . (2022).
    PUB | DOI | WoS
     
  • [285]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2963459
    Ren, P., Röckner, M., Wang, F.-Y.: Linearization of nonlinear Fokker-Planck equations and applications. Journal of Differential Equations . 322, 1-37 (2022).
    PUB | DOI | WoS
     
  • [284]
    2022 | Diskussionspapier | Veröffentlicht | PUB-ID: 2962548 OA
    Goldys, B., Nendel, M., Röckner, M.: Operator Semigroups in the Mixed Topology and the Infinitesimal description of Markov Processes. Center for Mathematical Economics Working Papers, 665. Center for Mathematical Economics, Bielefeld (2022).
    PUB | PDF
     
  • [283]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2962448
    Röckner, M., Xie, L., Yang, L.: Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations. Stochastics and Partial Differential Equations: Analysis and Computations . (2022).
    PUB | DOI | WoS
     
  • [282]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2961636
    Barbu, V., Röckner, M.: The invariance principle for nonlinear Fokker-Planck equations. Journal of Differential Equations . 315, 200-221 (2022).
    PUB | DOI | WoS
     
  • [281]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960405
    Nendel, M., Röckner, M.: Upper Envelopes of Families of Feller Semigroups and Viscosity Solutions to a Class of Nonlinear Cauchy Problems Read More: https://epubs.siam.org/doi/10.1137/20M1314823. SIAM Journal on Control and Optimization. 59, 4400-4428 (2021).
    PUB | DOI | WoS
     
  • [280]
    2021 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2959755
    Barbu, V., Röckner, M.: Correction to: Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs . Stochastics and Partial Differential Equations: Analysis and Computations . (2021).
    PUB | DOI | WoS
     
  • [279]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955128
    Federico, S., Ferrari, G., Riedel, F., Röckner, M.: On a Class of Infinite-Dimensional Singular Stochastic Control Problems . SIAM Journal on Control and Optimization. 59, 1680-1704 (2021).
    PUB | DOI | WoS
     
  • [278]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957066
    Liu, W., Röckner, M., da Silva, J.L.: Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations. Journal of Functional Analysis. 281, : 109135 (2021).
    PUB | DOI | WoS
     
  • [277]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956999
    Majid, N.R., Röckner, M.: The structure of entrance laws for time-inhomogeneous Ornstein-Uhlenbeck processes with Levy noise in Hilbert spaces. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 24, : 2150011 (2021).
    PUB | DOI | WoS
     
  • [276]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956278
    Röckner, M., Yang, H., Zhu, R.: Conservative stochastic two-dimensional Cahn–Hilliard equation. Annals of Applied Probability. 31, 1336-1375 (2021).
    PUB | DOI | WoS
     
  • [275]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955367
    Röckner, M., Xie, L.: Diffusion approximation for fully coupled stochastic differential equations. Annals of Probability. 49, 1205-1236 (2021).
    PUB | DOI | WoS
     
  • [274]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955376
    Kozitsky, Y., Röckner, M.: A Markov process for an infinite interacting particle system in the continuum. Electronic Journal of Probability . 26, 1-53 (2021).
    PUB | DOI | WoS
     
  • [273]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954682
    Röckner, M., Xie, L.: Averaging Principle and Normal Deviations for Multiscale Stochastic Systems. Communications in Mathematical Physics. 383, 1889–1937 (2021).
    PUB | DOI | WoS
     
  • [272]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954223
    Ha, S.-Y., Jung, J., Röckner, M.: Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication. Journal of Differential Equations. 284, 39-82 (2021).
    PUB | DOI | WoS
     
  • [271]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954224
    Röckner, M., Zhang, X.: Well-posedness of distribution dependent SDEs with singular drifts. Bernoulli . 27, 1131-1158 (2021).
    PUB | DOI | WoS
     
  • [270]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2953834
    Röckner, M., Sun, X., Xie, Y.: Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations. Annales de l'Institut Henri Poincaré (B): Probability and Statistics. 57, 547-576 (2021).
    PUB | DOI | WoS
     
  • [269]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2952713
    Barbu, V., Röckner, M.: Solutions for nonlinear Fokker-Planck equations with measures as initial data and McKean-Vlasov equations. Journal of Functional Analysis. 280, : 108926 (2021).
    PUB | DOI | WoS
     
  • [268]
    2021 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2951302
    Lunardi, A., Röckner, M.: Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces. Journal of the London Mathematical Society . (2021).
    PUB | DOI | WoS
     
  • [267]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2950202
    Hao, Z., Röckner, M., Zhang, X.: Euler scheme for density dependent stochastic differential equations. Journal of Differential Equations. 274, 996-1014 (2021).
    PUB | DOI | WoS
     
  • [266]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942720 OA
    Banas, L., Röckner, M., Wilke, A.: Convergent numerical approximation of the stochastic total variation flow. Stochastics and Partial Differential Equations : Analysis and Computations . 9, 437-471 (2020).
    PUB | PDF | DOI | WoS
     
  • [265]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945459
    Barbu, V., Röckner, M.: From nonlinear Fokker–Planck equations to solutions of distribution dependent SDE. Annals of Probability. 48, 1902-1920 (2020).
    PUB | DOI | WoS
     
  • [264]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948625
    Beznea, L., Cimpean, I., Röckner, M.: A natural extension of Markov processes and applications to singular SDEs. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 56, 2480-2506 (2020).
    PUB | DOI | WoS
     
  • [263]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2946115
    Barbu, V., Röckner, M.: Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs. Stochastics and Partial Differential Equations: Analysis and Computations . (2020).
    PUB | DOI | WoS
     
  • [262]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946143
    Barbu, V., Röckner, M., Zhang, D.: Optimal Control of Nonlinear Stochastic Differential Equations on Hilbert Spaces. SIAM Journal on Control and Optimization. 58, 2383-2410 (2020).
    PUB | DOI | WoS
     
  • [261]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2945609
    Gordina, M., Röckner, M., Teplyaev, A.: Ornstein-Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities. Probability Theory and Related Fields. (2020).
    PUB | DOI | WoS
     
  • [260]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2945115
    Röckner, M., Xie, L., Zhang, X.: Superposition principle for non-local Fokker-Planck-Kolmogorov operators. PROBABILITY THEORY AND RELATED FIELDS. (2020).
    PUB | DOI | WoS
     
  • [259]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945134
    Röckner, M., Wu, B., Zhu, R., Zhu, X.: STOCHASTIC HEAT EQUATIONS WITH VALUES IN A MANIFOLD VIA DIRICHLET FORMS. SIAM JOURNAL ON MATHEMATICAL ANALYSIS. 52, 2237-2274 (2020).
    PUB | DOI | WoS
     
  • [258]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2943809
    Da Prato, G., Flandoli, F., Röckner, M.: Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure. STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS. (2020).
    PUB | DOI | WoS
     
  • [257]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2941889
    Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: On the Ambrosio-Figalli-Trevisan Superposition Principle for Probability Solutions to Fokker-Planck-Kolmogorov Equations. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. (2020).
    PUB | DOI | WoS
     
  • [256]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2940088
    Liu, W., Röckner, M., Sun, X., Xie, Y.: Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients. JOURNAL OF DIFFERENTIAL EQUATIONS. 268, 2910-2948 (2020).
    PUB | DOI | WoS
     
  • [255]
    2019 | Diskussionspapier | Veröffentlicht | PUB-ID: 2936013 OA
    Nendel, M., Röckner, M.: Upper Envelopes of Families of Feller Semigroups and Viscosity Solutions to a Class of Nonlinear Cauchy Problems. Center for Mathematical Economics Working Papers, 618. Center for Mathematical Economics, Bielefeld (2019).
    PUB | PDF
     
  • [254]
    2019 | Diskussionspapier | Veröffentlicht | PUB-ID: 2935374 OA
    Federico, S., Ferrari, G., Riedel, F., Röckner, M.: On a Class of Infinite-Dimensional Singular Stochastic Control Problems. Center for Mathematical Economics Working Papers, 614. Center for Mathematical Economics, Bielefeld (2019).
    PUB | PDF
     
  • [253]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936605
    Röckner, M., Zhu, R., Zhu, X.: A REMARK ON GLOBAL SOLUTIONS TO RANDOM 3D VORTICITY EQUATIONS FOR SMALL INITIAL DATA. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. 24, 4021-4030 (2019).
    PUB | DOI | WoS
     
  • [252]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934374
    Huang, X., Röckner, M., Wang, F.-Y.: Nonlinear Fokker–Planck equations for Probability Measures on Path Space and Path-Distribution Dependent SDEs. Discrete and Continuous Dynamical Systems. 39, 3017-3035 (2019).
    PUB | DOI | WoS
     
  • [251]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935865
    Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: Convergence in variation of solutions of nonlinear Fokker-Planck-Kolmogorov equations to stationary measures. Journal of Functional Analysis. 276, 3681-3713 (2019).
    PUB | DOI | WoS
     
  • [250]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937112
    Da Prato, G., Flandoli, F., Röckner, M.: Absolutely continuous solutions for continuity equations in Hilbert spaces. Journal de Mathématiques Pures et Appliquées. 128, 42-86 (2019).
    PUB | DOI | WoS
     
  • [249]
    2019 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2939170
    Munteanu, I., Röckner, M.: Global solutions for random vorticity equations perturbed by gradient dependent noise, in two and three dimensions. JOURNAL OF EVOLUTION EQUATIONS. (2019).
    PUB | DOI | WoS
     
  • [248]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937867
    Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: On the Superposition Principle for Fokker-Planck-Kolmogorov Equations. DOKLADY MATHEMATICS. 100, 363-366 (2019).
    PUB | DOI | WoS
     
  • [247]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937858
    Da Prato, G., Jentzen, A., Röckner, M.: A MILD ITO FORMULA FOR SPDES. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 372, 3755-3807 (2019).
    PUB | DOI | WoS
     
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    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936025
    Beznea, L., Cimpean, I., Röckner, M.: A new approach to the existence of invariant measures for Markovian semigroups. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. 55, 977-1000 (2019).
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    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934350
    Herr, S., Röckner, M., Zhang, D.: Scattering for stochastic nonlinear Schrödinger equations. Communications in Mathematical Physics. 368, 843–884 (2019).
    PUB | DOI | Download (ext.) | WoS | arXiv
     
  • [244]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2921248
    Liu, W., Röckner, M., da Silva, J.L.: Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives. SIAM Journal on Mathematical Analysis. 50, 2588-2607 (2018).
    PUB | DOI | WoS
     
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    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931232
    Barbu, V., Röckner, M.: Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise. Journal of Differential Equations. 265, 4993-5030 (2018).
    PUB | DOI | WoS
     
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    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930270
    Barbu, V., Röckner, M., Zhang, D.: Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. The Annals of Probability. 46, 1957-1999 (2018).
    PUB | DOI | WoS
     
  • [241]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920290
    Röckner, M., Wu, B., Zhu, R., Zhu, X.: Stochastic heat equations with values in a Riemannian manifold. Rendiconti Lincei - Matematica e Applicazioni. 29, 205-213 (2018).
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    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931261
    Barbu, V., Röckner, M.: Probabilistic Representation for Solutions to Nonlinear Fokker--Planck Equations . SIAM Journal on Mathematical Analysis. 50, 4246-4260 (2018).
    PUB | DOI | WoS
     
  • [239]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919313
    Munteanu, I., Röckner, M.: Total variation flow perturbed by gradient linear multiplicative noise. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 21, : 1850003 (2018).
    PUB | DOI | WoS
     
  • [238]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919046
    Beznea, L., Cimpean, I., Röckner, M.: Irreducible recurrence, ergodicity, and extremality of invariant measures for resolvents. Stochastic Processes and their Applications. 128, 1405-1437 (2018).
    PUB | DOI | WoS
     
  • [237]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920683
    Röckner, M., Wu, W., Xie, Y.: Stochastic porous media equation on general measure spaces with increasing Lipschitz nonlinearities. Stochastic Processes and their Applications. 128, 2131-2151 (2018).
    PUB | DOI | WoS
     
  • [236]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931102
    Barbu, V., Röckner, M.: Variational solutions to nonlinear stochastic differential equations in Hilbert spaces. Stochastics and Partial Differential Equations: Analysis and Computations. 6, 500-524 (2018).
    PUB | DOI | WoS
     
  • [235]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919064
    Grigoryan, A., Ouyang, S., Röckner, M.: Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. 736, 1-31 (2018).
    PUB | DOI | WoS
     
  • [234]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932801
    Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: Convergence to Stationary Measures in Nonlinear Fokker-Planck-Kolmogorov Equations. DOKLADY MATHEMATICS. 98, 452-457 (2018).
    PUB | DOI | WoS
     
  • [233]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917179
    Röckner, M., Wang, F.-Y.: Closability of quadratic forms associated to invariant probability measures of SPDEs. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 20, : 15 (2017).
    PUB | DOI | WoS
     
  • [232]
    2017 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2931386
    Albeverio, S., Röckner, M., Yoshida, M.W.: Quantum Fields. In: Hida, T. and Streit, L. (eds.) Let Us Use White Noise. p. 37-65. World Scientific, New Jersey, London (2017).
    PUB | DOI | Inspire
     
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    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916350
    Barbu, V., Röckner, M., Russo, F.: Doubly probabilistic representation for the stochastic porous media type equation. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 53, 2043-2073 (2017).
    PUB | DOI | WoS
     
  • [230]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914407
    Barbu, V., Röckner, M.: Global solutions to random 3D vorticity equations for small initial data. Journal of Differential Equations. 263, 5395-5411 (2017).
    PUB | DOI | WoS
     
  • [229]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2909443
    Barbu, V., Röckner, M., Zhang, D.: The stochastic logarithmic Schrodinger equation. Journal de Mathématiques Pures et Appliquées. 107, 123-149 (2017).
    PUB | DOI | WoS
     
  • [228]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914999
    Barbu, V., Röckner, M., Zhang, D.: Stochastic nonlinear Schrödinger equations: No blow-up in the non-conservative case. Journal of Differential Equations. 263, 7919-7940 (2017).
    PUB | DOI | WoS
     
  • [227]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916113
    Barbu, V., Röckner, M.: A splitting algorithm for stochastic partial differential equations driven by linear multiplicative noise. Stochastics and Partial Differential Equations: Analysis and Computations. 5, 457-471 (2017).
    PUB | DOI | WoS
     
  • [226]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914679
    Röckner, M., Russo, F.: Uniqueness for a class of stochastic Fokker-Planck and porous media equations. Journal of Evolution Equations. 17, 1049-1062 (2017).
    PUB | DOI | WoS
     
  • [225]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911757
    Röckner, M., Zhu, R., Zhu, X.: Ergodicity for the Stochastic Quantization Problems on the 2D-Torus. Communications in Mathematical Physics. 353, 1061-1090 (2017).
    PUB | DOI | WoS
     
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    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911002
    Röckner, M., Zhu, R., Zhu, X.: Restricted Markov uniqueness for the stochastic quantization of P(Phi)(2) and its applications. Journal of Functional Analysis. 272, 4263-4303 (2017).
    PUB | DOI | WoS
     
  • [223]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2910486
    Gess, B., Röckner, M.: STOCHASTIC VARIATIONAL INEQUALITIES AND REGULARITY FOR DEGENERATE STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 369, 3017-3045 (2017).
    PUB | DOI | WoS
     
  • [222]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907737
    Röckner, M., Shin, J., Trutnau, G.: Non-symmetric distorted Brownian motion: Strong solutions, strong Feller property and non-explosion results. Discrete and Continuous Dynamical Systems. Series B. 21, 3219-3237 (2016).
    PUB | DOI | WoS
     
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    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904084
    Da Prato, G., Flandoli, F., Röckner, M., Veretennikov, A.Y.: Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. The Annals of Probability. 44, 1985-2023 (2016).
    PUB | DOI | WoS
     
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    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904065
    Barbu, V., Röckner, M.: Backward uniqueness of stochastic parabolic like equations driven by Gaussian multiplicative noise. Stochastic Processes and their Applications. 126, 2163-2179 (2016).
    PUB | DOI | WoS
     
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    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911801
    Barbu, V., Da Prato, G., Röckner, M.: Transition Semigroup. In: Barbu, V., Da Prato, G., and Röckner, M. (eds.) Stochastic porous media equations. Lecture Notes in Mathematics. 2163, p. 167-195. Springer Int Publishing AG, Cham (2016).
    PUB | DOI | WoS
     
  • [218]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917171
    Marinelli, C., Röckner, M.: On the maximal inequalities of Burkholder, Davis and Gundy. Expositiones Mathematicae. 34, 1-26 (2016).
    PUB | DOI | WoS
     
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    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917135
    Barbu, V., Röckner, M., Zhang, D.: Stochastic nonlinear Schrödinger equations. Nonlinear Analysis: Theory, Methods & Applications. 136, 168-194 (2016).
    PUB | DOI | WoS
     
  • [216]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2902117
    Ouyang, S.-X., Röckner, M.: Time inhomogeneous generalized Mehler semigroups and skew convolution equations. Forum Mathematicum. 28, 339-376 (2016).
    PUB | DOI | WoS
     
  • [215]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901305
    Röckner, M., Trutnau, G.: About the infinite dimensional skew and obliquely reflected Ornstein-Uhlenbeck process. Infinite Dimensional Analysis Quantum Probability and Related Topics. 18, : 1550031 (2016).
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    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911796
    Barbu, V., Da Prato, G., Röckner, M.: Equations with Lipschitz Nonlinearities. In: Barbu, V., Da Prato, G., and Röckner, M. (eds.) Stochastic porous media equations. Lecture Notes in Mathematics. 2163, p. 19-47. Springer , Cham (2016).
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    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905502
    Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations. Journal of Functional Analysis. 271, 1262-1300 (2016).
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    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917155
    Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: Estimates of distances between transition probabilities of diffusions. Doklady Mathematics. 93, 135-139 (2016).
    PUB | DOI | WoS
     
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    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911797
    Barbu, V., Da Prato, G., Röckner, M.: Equations with Maximal Monotone Nonlinearities. In: Barbu, V., Da Prato, G., and Röckner, M. (eds.) Stochastic porous media equations. Lecture Notes in Mathematics. 2163, p. 49-93. Springer , Cham (2016).
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    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911798
    Barbu, V., Da Prato, G., Röckner, M.: Variational Approach to Stochastic Porous Media Equations. In: Barbu, V., Da Prato, G., and Röckner, M. (eds.) Stochastic porous media equations. Lecture Notes in Mathematics. 2163, p. 95-106. Springer Int Publishing AG, Cham (2016).
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    2016 | Herausgeber*in Sammelwerk | Veröffentlicht | PUB-ID: 2911795
    Barbu, V., Da Prato, G., Röckner, M. eds: Stochastic Porous Media Equations Preface. Lecture Notes in Mathematics, 2163. Springer, Cham (2016).
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    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911794
    Barbu, V., Da Prato, G., Röckner, M.: Stochastic Porous Media Equations Introduction. In: Barbu, V., Da Prato, G., and Röckner, M. (eds.) Stochastic porous media equations. Lecture Notes in Mathematics. 2163, p. 1-18. Springer Int Publishing AG, Cham (2016).
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    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911800
    Barbu, V., Da Prato, G., Röckner, M.: The Stochastic Porous Media Equations in ℝ<sup>d</sup>. In: Barbu, V., Da Prato, G., and Röckner, M. (eds.) Stochastic porous media equations. Lecture Notes in Mathematics. 2163, p. 133-165. Springer Int Publishing AG, Cham (2016).
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    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911799
    Barbu, V., Da Prato, G., Röckner, M.: L-1-Based Approach to Existence Theory for Stochastic Porous Media Equations. In: Barbu, V., Da Prato, G., and Röckner, M. (eds.) Stochastic porous media equations. Lecture Notes in Mathematics. 2163, p. 107-131. Springer Int Publishing AG, Cham (2016).
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2733472
    Barbu, V., Röckner, M., Russo, F.: Stochastic porous media equations in ℝ<sup>d</sup>. Journal de Mathématiques Pures et Appliquées. 103, 1024-1052 (2015).
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2730756
    Jentzen, A., Röckner, M.: A Milstein Scheme for SPDEs. Foundations of Computational Mathematics. 15, 313-362 (2015).
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2780571
    Barbu, V., Röckner, M.: An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise. Journal of the European Mathematical Society. 17, 1789-1815 (2015).
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901228
    Bogachev, V.I., Da Prato, G., Röckner, M., Shaposhnikov, S.V.: An analytic approach to infinite-dimensional continuity and fokker-planck-kolmogorov equations. Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze. 14, 983-1023 (2015).
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2786346
    Bogachev, V.I., Da Prato, G., Röckner, M., Shaposhnikov, S.V.: On the uniqueness of solutions to continuity equations. Journal of Differential Equations. 259, 3854-3873 (2015).
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901026
    Da Prato, G., Flandoli, F., Priola, E., Röckner, M.: Strong Uniqueness for Stochastic Evolution Equations with Unbounded Measurable Drift Term. Journal of Theoretical Probability. 28, 1571-1600 (2015).
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2736501
    Beznea, L., Röckner, M.: On the Existence of the Dual Right Markov Process and Applications. Potential Analysis. 42, 617-627 (2015).
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2772441
    Röckner, M., Zhu, R., Zhu, X.: Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions. Nonlinear Analysis Theory Methods & Applications. 125, 358-397 (2015).
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2758461
    Röckner, M., Zhu, R., Zhu, X.: BV functions in a Gelfand triple for differentiable measure and its applications. Forum Mathematicum. 27, 1657-1687 (2015).
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2759912
    Röckner, M., Zhu, R., Zhu, X.: Sub and supercritical stochastic quasi-geostrophic equation. The Annals of Probability. 43, 1202-1273 (2015).
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901045
    Gess, B., Röckner, M.: Singular-degenerate Multivalued Stochastic Fast Diffusion Equations. Siam Journal on Mathematical Analysis. 47, 4058-4090 (2015).
    PUB | DOI | WoS
     
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2685876
    Barbu, V., Röckner, M., Zhang, D.: Stochastic Nonlinear Schrödinger Equations with Linear Multiplicative Noise: Rescaling Approach. Journal of Nonlinear Science. 24, 383-409 (2014).
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2673605
    Kolesnikov, A.V., Röckner, M.: On continuity equations in infinite dimensions with non-Gaussian reference measure. Journal of Functional Analysis. 266, 4490-4537 (2014).
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677412
    Albeverio, S., Röckner, M., Yoshida, M.W.: A homeomorphism relating path spaces of stochastic processes with values in R-Z respectively (S-1)(Z). Infinite Dimensional Analysis Quantum Probability and Related Topics. 17, : 1450002 (2014).
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2699769
    Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: On existence of Lyapunov functions for a stationary Kolmogorov equation with a probability solution. Doklady Mathematics. 90, 424-428 (2014).
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660829
    Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: On parabolic inequalities for generators of diffusions with jumps. Probability Theory and Related Fields. 158, 465-476 (2014).
    PUB | DOI | WoS
     
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2679627
    Röckner, M., Zhu, R., Zhu, X.: A note on stochastic semilinear equations and their associated Fokker-Planck equations. Journal of Mathematical Analysis and Applications. 415, 83-109 (2014).
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677363
    Röckner, M., Zhu, R., Zhu, X.: Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise. Stochastic Processes and their Applications. 124, 1974-2002 (2014).
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2612709
    Barbu, V., Röckner, M.: Stochastic Variational Inequalities and Applications to the Total Variation Flow Perturbed by Linear Multiplicative Noise. Archive For Rational Mechanics And Analysis. 209, 797-834 (2013).
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625721
    Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: On uniqueness of solutions to the Cauchy problem for degenerate Fokker-Planck-Kolmogorov equations. Journal Of Evolution Equations. 13, 577-593 (2013).
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548347
    Liu, W., Röckner, M.: Local and global well-posedness of SPDE with generalized coercivity conditions. Journal Of Differential Equations. 254, 725-755 (2013).
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2584618
    Röckner, M., Wang, F.-Y.: General extinction results for stochastic partial differential equations and applications. Journal Of The London Mathematical Society. 87, 545-560 (2013).
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635459
    Hinz, M., Röckner, M., Teplyaev, A.: Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces. Stochastic Processes And Their Applications. 123, 4373-4406 (2013).
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2612720
    Liu, W., Röckner, M., Zhu, X.-C.: Large deviation principles for the stochastic quasi-geostrophic equations. Stochastic Processes And Their Applications. 123, 3299-3327 (2013).
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2607125
    Barbu, V., Röckner, M.: The finite speed of propagation for solutions to nonlinear stochastic wave equations driven by multiplicative noise. Journal Of Differential Equations. 255, 560-571 (2013).
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635507
    Röckner, M., Wang, F.-Y., Zhang, T.: Stochastic generalized porous media equations with reflection. Stochastic Processes And Their Applications. 123, 3943-3962 (2013).
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2636018
    Da Prato, G., Flandoli, F., Priola, E., Röckner, M.: Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift. The Annals Of Probability. 41, 3306-3344 (2013).
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2584527
    Hagedorn, D., Kondratiev, Y., Pasurek, T., Röckner, M.: Gibbs states over the cone of discrete measures. Journal Of Functional Analysis. 264, 2550-2583 (2013).
    PUB | DOI | WoS
     
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2560367
    Da Prato, G., Röckner, M.: Well posedness of Fokker-Planck equations for generators of time-inhomogeneous Markovian transition probabilities. Rendiconti Lincei - Matematica E Applicazioni. 23, 361-376 (2012).
    PUB | DOI | WoS
     
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2530570
    Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: On Positive and Probability Solutions to the Stationary Fokker-Planck-Kolmogorov Equation. Doklady Mathematics. 85, 350-354 (2012).
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2489444
    Barbu, V., Röckner, M.: Localization of solutions to stochastic porous media equations: finite speed of propagation. Electronic Journal of Probability. 17, : 10 (2012).
    PUB | DOI | WoS
     
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2493091
    Barbu, V., Da Prato, G., Röckner, M.: Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise. Journal of Mathematical Analysis and Applications. 389, 147-164 (2012).
    PUB | DOI | WoS
     
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2474345
    Ouyang, S.-X., Röckner, M., Wang, F.-Y.: Harnack Inequalities and Applications for Ornstein-Uhlenbeck Semigroups with Jump. Potential Analysis. 36, 301-315 (2012).
    PUB | DOI | WoS
     
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454701
    Jentzen, A., Röckner, M.: Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise. Journal of Differential Equations. 252, 114-136 (2012).
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2493118
    Barbu, V., Röckner, M.: Stochastic Porous Media Equations and Self-Organized Criticality: Convergence to the Critical State in all Dimensions. Communications in Mathematical Physics. 311, 539-555 (2012).
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454705
    Röckner, M., Zhang, T.: Stochastic 3D tamed Navier-Stokes equations: Existence, uniqueness and small time large deviation principles. Journal of Differential Equations. 252, 716-744 (2012).
    PUB | DOI | WoS
     
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2501923
    Röckner, M., Zhu, R., Zhu, X.: STOCHASTIC QUASI-GEOSTROPHIC EQUATION. Infinite Dimensional Analysis Quantum Probability and Related Topics. 15, : 1250001 (2012).
    PUB | DOI | WoS
     
  • [168]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2523756
    Röckner, M., Zhu, R., Zhu, X.: The stochastic reflection problem on an infinite dimensional convex set and BV functions in a Gelfand triple. The Annals of Probability. 40, 1759-1794 (2012).
    PUB | DOI | WoS
     
  • [167]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548494
    Kondratiev, Y., Pasurek, T., Röckner, M.: GIBBS MEASURES OF CONTINUOUS SYSTEMS: AN ANALYTIC APPROACH. Reviews In Mathematical Physics. 24, : 1250026 (2012).
    PUB | DOI | WoS
     
  • [166]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394382
    Barbu, V., Röckner, M.: On a random scaled porous media equation. Journal of Differential Equations. 251, 2494-2514 (2011).
    PUB | DOI | WoS
     
  • [165]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454846
    Barbu, V., Röckner, M., Russo, F.: Probabilistic representation for solutions of an irregular porous media type equation: the degenerate case. Probability Theory and Related Fields. 151, 1-43 (2011).
    PUB | DOI | WoS
     
  • [164]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394377
    Beznea, L., Cornea, A., Röckner, M.: Potential theory of infinite dimensional Levy processes. Journal of Functional Analysis. 261, 2845-2876 (2011).
    PUB | DOI | WoS
     
  • [163]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394401
    Beznea, L., Röckner, M.: Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities. Complex Analysis and Operator Theory. 5, 731-741 (2011).
    PUB | DOI | WoS
     
  • [162]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2093770
    Gordina, M., Röckner, M., Wang, F.-Y.: Dimension-Independent Harnack Inequalities for Subordinated Semigroups. Potential Analysis. 34, 293-307 (2011).
    PUB | DOI | WoS
     
  • [161]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2440773
    Beznea, L., Röckner, M.: From resolvents to cadlag processes through compact excessive functions and applications to singular SDE on Hilbert spaces. Bulletin des Sciences Mathématiques. 135, 844-870 (2011).
    PUB | DOI | WoS
     
  • [160]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003388
    Beyn, W.-J., Gess, B., Lescot, P., Röckner, M.: The Global Random Attractor for a Class of Stochastic Porous Media Equations. Communications in Partial Differential Equations. 36, 446-469 (2011).
    PUB | DOI | WoS
     
  • [159]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2307041
    Gess, B., Liu, W., Röckner, M.: Random attractors for a class of stochastic partial differential equations driven by general additive noise. Journal of Differential Equations. 251, 1225-1253 (2011).
    PUB | DOI | WoS
     
  • [158]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929609
    Marinelli, C., Röckner, M.: On uniqueness of mild solutions for dissipative stochastic evolution equations. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 13, 363-376 (2010).
    PUB | DOI | WoS
     
  • [157]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796284
    Röckner, M., Zhang, X.: Weak uniqueness of Fokker-Planck equations with degenerate and bounded coefficients. Comptes Rendus Mathematique. 348, 435-438 (2010).
    PUB | DOI | WoS
     
  • [156]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1793861
    Liu, W., Röckner, M.: SPDE in Hilbert space with locally monotone coefficients. Journal of Functional Analysis. 259, 2902-2922 (2010).
    PUB | DOI | WoS
     
  • [155]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1589498
    Marinelli, C., Prévôt, C., Röckner, M.: Regular dependence on initial data for stochastic evolution equations with multiplicative Poisson noise. Journal of Functional Analysis. 258, 616-649 (2010).
    PUB | DOI | WoS
     
  • [154]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929203
    Marinelli, C., Röckner, M.: Well-posedness and asymptotic behavior for stochastic reaction-diffusion equations with multiplicative Poisson noise. Electronic Journal of Probability . 15, 1528-1555 (2010).
    PUB | WoS
     
  • [153]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588937
    Röckner, M., Zhang, T., Zhang, X.: Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations. Applied Mathematics and Optimization. 61, 267-285 (2010).
    PUB | DOI | WoS
     
  • [152]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794324
    Bogachev, V., Da Prato, G., Röckner, M.: Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Journal of Evolution Equations. 10, 487-509 (2010).
    PUB | DOI | WoS
     
  • [151]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796081
    Röckner, M., Wang, F.-Y.: LOG-HARNACK INEQUALITY FOR STOCHASTIC DIFFERENTIAL EQUATIONS IN HILBERT SPACES AND ITS CONSEQUENCES. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 13, 27-37 (2010).
    PUB | DOI | WoS
     
  • [150]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968087
    Röckner, M., Zhu, R., Zhu, X.: BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert space. Comptes Rendus Mathematique. 348, 1175-1178 (2010).
    PUB | DOI | WoS
     
  • [149]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1590687
    Barbu, V., Da Prato, G., Röckner, M.: Stochastic Nonlinear Diffusion Equations with Singular Diffusivity . SIAM Journal on Mathematical Analysis. 41, 1106-1120 (2009).
    PUB | DOI | WoS
     
  • [148]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796390
    Röckner, M., Zhang, X.: Tamed 3D Navier-Stokes Equation: Existence, Uniqueness and Regularity. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 12, 525-549 (2009).
    PUB | DOI | WoS
     
  • [147]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633336
    Röckner, M., Zhang, X.: Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity. Probability Theory and Related Fields. 145, 211-267 (2009).
    PUB | DOI | WoS
     
  • [146]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634128
    Goldys, B., Röckner, M., Zhang, X.: Martingale solutions and Markov selections for stochastic partial differential equations. Stochastic Processes and their Applications. 119, 1725-1764 (2009).
    PUB | DOI | WoS
     
  • [145]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633319
    Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: Lower estimates of densities of solutions of elliptic equations for measures. Doklady Mathematics. 79, 329-334 (2009).
    PUB | DOI | WoS
     
  • [144]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1591586
    Röckner, M., Wang, Y.: A Note on variational solutions to SPDE perturbed by Gaussian noise in a general class. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 12, 353-358 (2009).
    PUB | DOI | WoS
     
  • [143]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633933
    Barbu, V., Da Prato, G., Röckner, M.: Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Annals of Probability. 37, 428-452 (2009).
    PUB | DOI | WoS
     
  • [142]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1589155
    Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: Nonlinear evolution and transport equations for measures. Doklady Mathematics. 80, 785-789 (2009).
    PUB | DOI | WoS
     
  • [141]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636211
    Barbu, V., Da Prato, G., Röckner, M.: Stochastic Porous Media Equations and Self-Organized Criticality. Communications in Mathematical Physics. 285, 901-923 (2009).
    PUB | DOI | WoS
     
  • [140]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1591777
    Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: Positive Densities of Transition Probabilities of Diffusion Processes. Theory of Probability & Its Applications. 53, 194-215 (2009).
    PUB | DOI | WoS
     
  • [139]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635920
    Barbu, V., Da Prato, G., Röckner, M.: Finite time extinction for solutions to fast diffusion stochastic porous media equations. Comptes Rendus Mathematique. 347, 81-84 (2009).
    PUB | DOI | WoS
     
  • [138]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635704
    Bogachev, V.I., Da Prato, G., Röckner, M.: Fokker-Planck equations and maximal dissipativity for Kolmogorov operators with time dependent singular drifts in Hilbert spaces. Journal of Functional Analysis. 256, 1269-1298 (2009).
    PUB | DOI | WoS
     
  • [137]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795496
    Bogachev, V.I., Krylov, N.V., Röckner, M.: Elliptic and parabolic equations for measures. Russian Mathematical Surveys . 64, 973-1078 (2009).
    PUB | DOI | WoS
     
  • [136]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636506
    Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: Estimates of Densities of Stationary Distributions and Transition Probabilities of Diffusion Processes . Theory of Probability & Its Applications. 52, 209-236 (2008).
    PUB | DOI | WoS
     
  • [135]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592104
    Barbu, V., Da Prato, G., Röckner, M.: Existence and uniqueness of nonnegative solutions to the stochastic porous media equation. Indiana University Mathematics Journal . 57, 187-211 (2008).
    PUB | DOI | WoS
     
  • [134]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588038
    Bogachev, V.I., Da Prato, G., Röckner, M.: Infinite dimensional Kolmogorov operators with time dependent drift coefficients. Doklady Mathematics. 77, 276-280 (2008).
    PUB | DOI | WoS
     
  • [133]
    2008 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1587187
    Röckner, M., Schmuland, B., Zhang, X.: Yamada-Watanabe theorem for stochastic evolution equations in infinite dimensions. Condensed Matter Physics . 11, 247-259 (2008).
    PUB | WoS
     
  • [132]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636734
    Röckner, M., Wang, F.-Y.: Non-monotone stochastic generalized porous media equations. Journal of Differential Equations. 245, 3898-3935 (2008).
    PUB | DOI | WoS
     
  • [131]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586510
    Bogachev, V.I., Da Prato, G., Röckner, M.: Parabolic equations for measures on infinite-dimensional spaces. Doklady Mathematics. 78, 544-549 (2008).
    PUB | DOI | WoS
     
  • [130]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592500
    Bogachev, V.I., Da Prato, G., Röckner, M.: On parabolic equations for measures. Communications in Partial Differential Equations. 33, 397-418 (2008).
    PUB | DOI | WoS
     
  • [129]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592122
    Beznea, L., Boboc, N., Röckner, M.: Markov processes associated with L-P-resolvents, applications to quasi-regular Dirichlet forms and stochastic differential equations. Comptes Rendus Mathematique. 346, 323-328 (2008).
    PUB | DOI | WoS
     
  • [128]
    2008 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1636273
    Kondratiev, Y., Lytvynov, E., Röckner, M.: Non-equilibrium stochastic dynamics in continuum: The free case. CONDENSED MATTER PHYSICS. 11, 701-721 (2008).
    PUB | WoS
     
  • [127]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794538
    Prévôt, C., Röckner, M.: Weak and Strong Solutions: the Yamada-Watanabe Theorem. In: Prévôt, C. and Röckner, M. (eds.) A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. 1905, p. 121-132. Springer, Berlin (2007).
    PUB | WoS
     
  • [126]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794526
    Prévôt, C., Röckner, M.: The Bochner Integral. In: Prévôt, C. and Röckner, M. (eds.) A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. 1905, p. 105-108. Springer, Berlin (2007).
    PUB | WoS
     
  • [125]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794520
    Prévôt, C., Röckner, M.: Stochastic Differential Equations in Finite Dimensions. In: Prévôt, C. and Röckner, M. (eds.) A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. 1905, p. 43-54. Springer, Berlin (2007).
    PUB | DOI | WoS
     
  • [124]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794532
    Prévôt, C., Röckner, M.: Pseudo Inverse of Linear Operators. In: Prévôt, C. and Röckner, M. (eds.) A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. 1905, p. 115-117. Springer, Berlin (2007).
    PUB | WoS
     
  • [123]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594879
    Ren, J., Röckner, M., Zhang, X.: Kusuoka-stroock formula on configuration space and regularities of local times with jumps. Potential Analysis. 26, 363-396 (2007).
    PUB | DOI | WoS
     
  • [122]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1595371
    Röckner, M., Zhang, T.: Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles. Potential Analysis. 26, 255-279 (2007).
    PUB | DOI | WoS
     
  • [121]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592663
    Röckner, M., Trutnau, G.: A remark on the generator of a right-continuous Markov process. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 10, 633-640 (2007).
    PUB | DOI | WoS
     
  • [120]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794529
    Prévôt, C., Röckner, M.: Nuclear and Hilbert-Schmidt Operators. In: Prévôt, C. and Röckner, M. (eds.) A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. 1905, p. 109-113. Springer, Berlin (2007).
    PUB | WoS
     
  • [119]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794535
    Prévôt, C., Röckner, M.: Some Tools from Real Martingale Theory. In: Prévôt, C. and Röckner, M. (eds.) A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. 1905, p. 119-119. Springer, Berlin (2007).
    PUB | WoS
     
  • [118]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794541
    Prévôt, C., Röckner, M.: Strong, Mild and Weak Solutions. In: Prévôt, C. and Röckner, M. (eds.) A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. 1905, p. 133-136. Springer, Berlin (2007).
    PUB | WoS
     
  • [117]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794514
    Prévôt, C., Röckner, M.: Motivation, Aims and Examples. In: Prévôt, C. and Röckner, M. (eds.) A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. 1905, p. 1-4. Springer, Berling (2007).
    PUB | DOI | WoS
     
  • [116]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794523
    Prévôt, C., Röckner, M.: A Class of Stochastic Differential Equations. In: Prévôt, C. and Röckner, M. (eds.) A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. 1905, p. 55-103. Springer, Berlin ; Heidelberg (2007).
    PUB | DOI | WoS
     
  • [115]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794517
    Prévôt, C., Röckner, M.: The Stochastic Integral in General Hilbert Spaces (w.r.t. Brownian Motion). In: Prévôt, C. and Röckner, M. (eds.) A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. 1905, p. 5-42. Springer, Berlin ; Heidelberg (2007).
    PUB | DOI | WoS
     
  • [114]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1632672
    Bogachev, V.I., Da Prato, G., Röckner, M., Stannat, W.: Uniqueness of solutions to weak parabolic equations for measures. Bulletin of the London Mathematical Society . 39, 631-640 (2007).
    PUB | DOI | WoS
     
  • [113]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631495
    Kondratiev, Y., Lytvynov, E., Röckner, M.: Equilibrium Kawasaki dynamics of continuous particle systems. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. 10, 185-209 (2007).
    PUB | DOI | WoS
     
  • [112]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596324
    Grothaus, M., Kondratiev, Y., Röckner, M.: N/V-limit for stochastic dynamics in continuous particle systems. PROBABILITY THEORY AND RELATED FIELDS. 137, 121-160 (2007).
    PUB | DOI | WoS
     
  • [111]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1874564
    Röckner, M., Sobol, Z.: Kolmogorov Equations in Infinite Dimensions: Well-Posedness, Regularity of Solutions, and Applications to Stochastic Generalized Burgers Equations. The Annals of Probability. 34, 663-727 (2006).
    PUB | DOI | Download (ext.) | WoS
     
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    2006 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1872394
    Bogachev, V.I., Da Prato, G., Röckner, M., Sobol, Z.: Gradient bounds for solutions of elliptic and parabolic equations. In: Da Prato, G. and Tubaro, L. (eds.) Stochastic Differential Equations and Applications - VII. Lecture notes in pure and applied mathematics. 245, p. 27-34. Chapman & Hall/CRC, Boca Raton (2006).
    PUB | Download (ext.)
     
  • [109]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596907
    Beznea, L., Boboc, N., Röckner, M.: Markov processes associated with L-p-resolvents and applications to stochastic differential equations on Hilbert space. Journal of Evolution Equations. 6, 745-772 (2006).
    PUB | DOI | WoS
     
  • [108]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597497
    Beznea, L., Boboc, N., Röckner, M.: Quasi-regular Dirichlet forms and L-p-resolvents on measurable spaces. Potential Analysis. 25, 269-282 (2006).
    PUB | DOI | WoS
     
  • [107]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596393
    Röckner, M., Wang, F.-Y., Wu, L.: Large deviations for stochastic generalized porous media equations. Stochastic Processes and their Applications. 116, 1677-1689 (2006).
    PUB | DOI | WoS
     
  • [106]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599439
    Röckner, M., Wang, F.-Y.: Functional inequalities for particle systems on Polish spaces. Potential Analysis. 24, 223-243 (2006).
    PUB | DOI | WoS
     
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    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599008
    Barbu, V., Bogachev, V.I., Da Prato, G., Röckner, M.: Weak solutions to the stochastic porous media equation via Kolmogorov equations: The degenerate case. Journal of Functional Analysis. 237, 54-75 (2006).
    PUB | DOI | WoS
     
  • [104]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600893
    Da Prato, G., Röckner, M., Rozovskii, B.L., Wang, F.-Y.: Strong solutions of stochastic generalized porous media equations: Existence, uniqueness, and ergodicity. Communications in Partial Differential Equations. 31, 277-291 (2006).
    PUB | DOI | WoS
     
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    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599748
    Kondratiev, Y., Lytvynov, E., Röckner, M.: Infinite interacting diffusion particles I: Equilibrium process and its scaling limit. FORUM MATHEMATICUM. 18, 9-43 (2006).
    PUB | DOI | WoS
     
  • [102]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1872405
    Bernabei, S., Röckner, M., Yoshida, M.I.W., Albeverio, S.: Homogenization with respect to Gibbs measures for periodic drift diffusions on lattices. Comptes Rendus Mathematique. 341, 675-678 (2005).
    PUB | DOI | WoS
     
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    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1872430
    Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: Global regularity and bounds for solutions of parabolic equations for probability measures. SIAM Theory of Probability and its Applications. 50, 561-581 (2005).
    PUB | DOI | Download (ext.) | WoS
     
  • [100]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605208
    Krylov, N.V., Röckner, M.: Strong solutions of stochastic equations with singular time dependent drift. Probability Theory and Related Fields. 131, 154-196 (2005).
    PUB | DOI | WoS
     
  • [99]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600780
    Bogachev, V.I., Krylov, N.V., Röckner, M.: Regularity and global bounds of densities of invariant measures of diffusion processes. Doklady Mathematics. 72, 934-938 (2005).
    PUB | WoS
     
  • [98]
    2005 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1872422
    Ren, J., Röckner, M.: A remark on sets in infinite dimensional spaces with full or zero capacity. Stochastic Analysis: Classical and Quantum. Perspectives of white noise theory. p. 177-186. World Scientific, Singapore (2005).
    PUB | Download (ext.)
     
  • [97]
    2005 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1874572
    Röckner, M.: PDE Approach to Invariant and Gibbs Measures with Applications. In: Heyer, H. (ed.) Infinite Dimensional Harmonic Analysis III. Infinite dimensional harmonic analysis. 3, p. 351. World Scientific, Hackensack, N.J (2005).
    PUB | Download (ext.)
     
  • [96]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605081
    Cerrai, S., Röckner, M.: Large deviations for invariant measures of stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term. Annales de l'Institut Henri Poincare (B) Probability and Statistics. 41, 69-105 (2005).
    PUB | DOI | WoS
     
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    2005 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1874610
    Albeverio, S., Röckner, M., Pasurek, T., Kondratiev, Y.: Euclidean Gibbs Measures of Quantum Crystals: Existence, Uniqueness and A-Priori Estimates. In: Deuschel, J.-D. (ed.) Interacting Stochastic Systems. p. 29-54. Springer, Berlin (2005).
    PUB
     
  • [94]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608612
    Röckner, M., Wang, F.-Y.: On the spectrum of a class of non-sectorial diffusion operators. Bulletin of the London Mathematical Society . 36, 95-104 (2004).
    PUB | DOI | WoS
     
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606483
    Bogachev, V.I., Da Prato, G., Röckner, M., Sobol, Z.: Global gradient bounds for dissipative diffusion operators. Comptes Rendus Mathematique. 339, 277-282 (2004).
    PUB | DOI | WoS
     
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607633
    Röckner, M., Sobol, Z.: A new approach to Kolmogorov equations in infinite dimensions and applications to stochastic generalized Burgers equations. Comptes Rendus Mathematique. 338, 945-949 (2004).
    PUB | DOI | WoS
     
  • [91]
    2004 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1877234
    Da Prato, G., Röckner, M.: Invariant Measures for a Stochastic Porous Medium Equation. In: Kunita, H., Watanabe, S., and Takahashi, Y. (eds.) Stochastic Analysis and Related Topics. Advanced studies in pure mathematics. 41, p. 13-29. Mathematical Soc. of Japan, Tokyo (2004).
    PUB | DOI
     
  • [90]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607410
    Bogachev, V.I., Da Prato, G., Röckner, M.: Invariant measures of generalized stochastic porous medium equations. Doklady Mathematics. 69, 321-325 (2004).
    PUB | WoS
     
  • [89]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607686
    Da Prato, G., Röckner, M.: Weak solutions to stochastic porous media equations. Journal of Evolution Equations. 4, 249-271 (2004).
    PUB | DOI | WoS
     
  • [88]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606613
    Röckner, M., Zhang, T.S.: Sample path large deviations for diffusion processes on configuration spaces over a Riemannian manifold. Publications of the Research Institute for Mathematical Sciences. 40, 385-427 (2004).
    PUB | DOI | WoS
     
  • [87]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607414
    Bogachev, V.I., Röckner, M., Wang, F.-Y.: Invariance implies Gibbsian: Some new results. Communications in Mathematical Physics. 248, 335-355 (2004).
    PUB | DOI | WoS
     
  • [86]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608272
    Cerrai, S., Röckner, M.: Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term. Annals of Probability. 32, 1100-1139 (2004).
    PUB | WoS
     
  • [85]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607902
    Bogachev, V.I., Da Prato, G., Röckner, M.: Existence of solutions to weak parabolic equations for measures. Proceedings of the London Mathematical Society. 88, 753-774 (2004).
    PUB | DOI | WoS
     
  • [84]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609133
    Lescot, P., Röckner, M.: Perturbations of generalized Mehler semigroups and applications to stochastic heat equations with Levy noise and singular drift. Potential Analysis. 20, 317-344 (2004).
    PUB | DOI | WoS
     
  • [83]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607625
    Kondratiev, Y., Konstantinov, A.Y., Röckner, M.: Uniqueness of diffusion generators for two types of particle systems with singular interactions. JOURNAL OF FUNCTIONAL ANALYSIS. 212, 357-372 (2004).
    PUB | DOI | WoS
     
  • [82]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608071
    Kondratiev, Y., Rebenko, A.L., Röckner, M.: On diffusion dynamics for continuous systems with singular superstable interaction. JOURNAL OF MATHEMATICAL PHYSICS. 45, 1826-1848 (2004).
    PUB | DOI | WoS
     
  • [81]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608265
    Albeverio, S., Kondratiev, Y., Pasurek, T., Röckner, M.: Euclidean Gibbs measures on loop lattices: Existence and a priori estimates. ANNALS OF PROBABILITY. 32, 153-190 (2004).
    PUB | WoS
     
  • [80]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609893
    Röckner, M., Wang, F.-Y.: Supercontractivity and ultracontractivity for (non-symmetric) diffusion semigroups on manifolds. Forum Mathematicum. 15, 893-921 (2003).
    PUB | DOI | WoS
     
  • [79]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609835
    Bogachev, V.I., Röckner, M.: On L-P-uniqueness of symmetric diffusion operators on Riemannian manifolds. Sbornik: Mathematics. 194, 969-978 (2003).
    PUB | DOI | WoS
     
  • [78]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609600
    Cerrai, S., Röckner, M.: Large deviations for invariant measures of general stochastic reaction-diffusion systems. Comptes Rendus Mathematique. 337, 597-602 (2003).
    PUB | DOI | WoS
     
  • [77]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612172
    Röckner, M., Zhang, T.S.: Lower order perturbations of Dirichlet processes. Forum Mathematicum. 15, 285-297 (2003).
    PUB | DOI | WoS
     
  • [76]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610471
    Röckner, M., Wang, F.-Y.: Harnack and functional inequalities for generalized Mehler semigroups. Journal of Functional Analysis. 203, 237-261 (2003).
    PUB | DOI | WoS
     
  • [75]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1611843
    Albeverio, S., Kondratiev, Y., Kozitsky, Y., Röckner, M.: Quantum stabilization in anharmonic crystals. PHYSICAL REVIEW LETTERS. 90, : 170603 (2003).
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [74]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612204
    Kondratiev, Y., Lytvynov, E., Röckner, M.: The heat semigroup on configuration spaces. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES. 39, 1-48 (2003).
    PUB | DOI | WoS
     
  • [73]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1611030
    Grothaus, M., Kondratiev, Y., Lytvynov, E., Röckner, M.: Scaling limit of stochastic dynamics in classical continuous systems. ANNALS OF PROBABILITY. 31, 1494-1532 (2003).
    PUB | WoS
     
  • [72]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609941
    Albeverio, S., Kondratiev, Y., Kozitsky, Y., Röckner, M.: Small mass implies uniqueness of Gibbs states of a quantum crystal. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 241, 69-90 (2003).
    PUB | DOI | WoS
     
  • [71]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613244
    Bogachev, V.I., Röckner, M., Stannat, W.: Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions. Sbornik: Mathematics. 193, 945-976 (2002).
    PUB | DOI | WoS
     
  • [70]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613192
    Da Prato, G., Röckner, M.: Singular dissipative stochastic equations in Hilbert spaces. Probability Theory and Related Fields. 124, 261-303 (2002).
    PUB | DOI | WoS
     
  • [69]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613297
    Lescot, P., Röckner, M.: Generators of mehler-type semigroups as pseudo-differential operators. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 5, 297-315 (2002).
    PUB | DOI | WoS
     
  • [68]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613047
    Bogachev, V.I., Pugachev, O.V., Röckner, M.: Surface measures and tightness of Sobolev capacities on Poisson space. Doklady Mathematics. 66, 157-160 (2002).
    PUB | WoS
     
  • [67]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613006
    Bogachev, V.I., Pugachev, O.V., Röckner, M.: Surface measures and tightness of (r,p)-capacities on Poisson space. Journal of Functional Analysis. 196, 61-86 (2002).
    PUB | DOI | WoS
     
  • [66]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613051
    Bogachev, V.I., Wang, F.Y., Röckner, M.: Invariant measures of stochastic gradient systems in Riemannian manifolds and Gibbs measures. Doklady Mathematics. 66, 179-183 (2002).
    PUB | WoS
     
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    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613055
    Bogachev, V.I., Da Prato, G., Röckner, M.: On weak parabolic equations for probability measures. Doklady Mathematics. 66, 192-196 (2002).
    PUB | WoS
     
  • [64]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612751
    Albeverio, S., Kondratiev, Y., Kozitsky, Y., Röckner, M.: Euclidean Gibbs states of quantum lattice systems. REVIEWS IN MATHEMATICAL PHYSICS. 14, 1335-1401 (2002).
    PUB | DOI | WoS
     
  • [63]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612947
    Albeverio, S., Kondratiev, Y., Kozitsky, Y., Röckner, M.: Gibbs states of a quantum crystal: uniqueness by small particle mass. COMPTES RENDUS MATHEMATIQUE. 335, 693-698 (2002).
    PUB | DOI | WoS
     
  • [62]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615560
    Bogachev, V.I., Krylov, N.V., Röckner, M.: On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions. Communications in Partial Differential Equations . 26, 2037-2080 (2001).
    PUB | DOI | WoS
     
  • [61]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616121
    Röckner, M., Wang, F.-Y.: Weak Poincaré inequalities and L-2-convergence rates of Markov semigroups. Journal of Functional Analysis. 185, 564-603 (2001).
    PUB | DOI | WoS
     
  • [60]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617681
    Bogachev, V., Röckner, M., Wang, F.-Y.: Elliptic equations for invariant measures on Riemannian manifolds: existence and regularity of solutions. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 332, 333-338 (2001).
    PUB | DOI | WoS
     
  • [59]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617720
    Bogachev, V.P., Krylov, N.V., Röckner, M.: Differentiability of the invariant measures and transition probabilities of singular diffusions. Doklady Mathematics. 63, 18-21 (2001).
    PUB | WoS
     
  • [58]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616117
    Gong, F., Röckner, M., Liming, W.: Poincaré inequality for weighted first order Sobolev spaces on loop spaces. Journal of Functional Analysis. 185, 527-563 (2001).
    PUB | DOI | WoS
     
  • [57]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617754
    Bogachev, V.I., Röckner, M., Wang, F.-Y.: Elliptic equations for invariant measures on finite and infinite dimensional manifolds. Journal de Mathématiques Pures et Appliquées. 80, 177-221 (2001).
    PUB | DOI | WoS
     
  • [56]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616748
    Bogachev, V.I., Wang, F.Y., Röckner, M.: Elliptic equations associated with invariant measures of diffusions on finite- and infinite-dimensional manifolds. Doklady Mathematics . 63, 351-354 (2001).
    PUB | WoS
     
  • [55]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616354
    Bogachev, V.I., Röckner, M.: Elliptic equations for measures on infinite dimensional spaces and applications. Probability Theory and Related Fields. 120, 445-496 (2001).
    PUB | DOI | WoS
     
  • [54]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615484
    Finkelshtein, D.L., Kondratiev, Y., Röckner, M., Konstantinov, A.Y.: Gauss formula and symmetric extensions of the Laplacian on configuration spaces. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. 4, 489-509 (2001).
    PUB | DOI | WoS
     
  • [53]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616247
    Albeverio, S., Grothaus, M., Kondratiev, Y., Röckner, M.: Stochastic dynamics of fluctuations in classical continuous systems. JOURNAL OF FUNCTIONAL ANALYSIS. 185, 129-154 (2001).
    PUB | DOI | WoS
     
  • [52]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617829
    da Silva, J., Kondratiev, Y., Röckner, M.: On a relation between intrinsic and extrinsic Dirichlet forms for interacting particle systems. MATHEMATISCHE NACHRICHTEN. 222, 141-157 (2001).
    PUB | DOI | WoS
     
  • [51]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615500
    Albeverio, S., Kondratiev, Y., Pasurek, T., Röckner, M.: Gibbs states on loop lattices: existence and a priori estimates. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE. 333, 1005-1009 (2001).
    PUB | DOI | WoS
     
  • [50]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617918
    Albeverio, S., Kondratiev, Y., Kozitsky, Y., Röckner, M.: Uniqueness for Gibbs measures of quantum lattices in small mass regime. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. 37, 43-69 (2001).
    PUB | DOI | WoS
     
  • [49]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616433
    Bogachev, V., Röckner, M.: A generalization of Khasminskii's theorem on the existence of invariant measures for locally integrable drifts. Theory of Probability & Its Applications. 45, 363-378 (2000).
    PUB | DOI | WoS
     
  • [48]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619467
    Ren, J., Röckner, M.: Ray Hölder-continuity for fractional Sobolev spaces in infinite dimensions and applications. Probability Theory and Related Fields. 117, 201-220 (2000).
    PUB | DOI | WoS
     
  • [47]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621240
    Bogachev, V., Röckner, M., Zhang, T.S.: Existence and uniqueness of invariant measures: An approach via sectorial forms. Applied Mathematics and Optimization. 41, 87-109 (2000).
    PUB | DOI | WoS
     
  • [46]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620587
    Fuhrman, M., Röckner, M.: Generalized Mehler semigroups: The non-Gaussian case. Potential Analysis. 12, 1-47 (2000).
    PUB | DOI | WoS
     
  • [45]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619161
    Ma, Z.-M., Röckner, M.: Construction of diffusions on configuration spaces. Osaka Journal of Mathematics. 37, 273-314 (2000).
    PUB | WoS
     
  • [44]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617639
    Ma, Z.-M., Röckner, M., Sun, W.: Approximation of Hunt processes by multivariate Poisson processes. Acta Applicandae Mathematica. 63, 233-243 (2000).
    PUB | DOI | WoS
     
  • [43]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617634
    Albeverio, S., Daletskii, A., Kondratiev, Y., Röckner, M.: Stochastic dynamics of compact spins: Ergodicity and irreducibility. ACTA APPLICANDAE MATHEMATICAE. 63, 27-40 (2000).
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  • [42]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620414
    Albeverio, S., Kondratiev, Y., Röckner, M., Tsikalenko, T.V.: A priori estimates for symmetrizing measures and their applications to Gibbs states. JOURNAL OF FUNCTIONAL ANALYSIS. 171, 366-400 (2000).
    PUB | DOI | WoS
     
  • [41]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620659
    Liskevich, V., Sobol, Z., Röckner, M.: Dirichlet operators with variable coefficients in L-p-spaces of functions of infinitely many variables coefficients. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 2, 487-502 (1999).
    PUB | DOI | WoS
     
  • [40]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621467
    Bogachev, V., Röckner, M.: Elliptic equations for infinite dimensional probability distributions and Lyapunov functions. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 329, 705-710 (1999).
    PUB | DOI | WoS
     
  • [39]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623139
    Bogachev, V., Lescot, P., Röckner, M.: The martingale problem for pseudo-differential operators on infinite-dimensional spaces. Nagoya Mathematical Journal. 153, 101-118 (1999).
    PUB | DOI | WoS
     
  • [38]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620925
    Röckner, M., Schied, A.: Rademacher's theorem on configuration spaces and applications. Journal of Functional Analysis. 169, 325-356 (1999).
    PUB | DOI | WoS
     
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621097
    Röckner, M., Zhang, T.S.: Probabilistic representations and hyperbound estimates for semigroups. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 2, 337-358 (1999).
    PUB | DOI | WoS
     
  • [36]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622169
    Albeverio, S., Hu, Y.Z., Röckner, M., Zhou, X.Y.: Stochastic quantization of the two-dimensional polymer measure. Applied Mathematics and Optimization. 40, 341-354 (1999).
    PUB | DOI | WoS
     
  • [35]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623685
    Albeverio, S., Bogachev, V., Röckner, M.: On uniqueness of invariant measures for finite- and infinite-dimensional diffusions. Communications on Pure and Applied Mathematics . 52, 325-362 (1999).
    PUB | DOI | WoS
     
  • [34]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623534
    Albeverio, S., Kondratiev, Y., Röckner, M.: Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory. REVIEWS IN MATHEMATICAL PHYSICS. 11, 1-23 (1999).
    PUB | WoS
     
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622749
    Albeverio, S., Kondratiev, Y., Röckner, M., Tsikalenko, T.V.: A-priori estimates and existence of Gibbs measures: a simplified proof. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE. 328, 1049-1054 (1999).
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622857
    Kondratiev, Y., Konstantinov, A.Y., Röckner, M., Shchepan'uk, G.V.: Scattering problem for local perturbations of the free quantum gas. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 203, 421-444 (1999).
    PUB | DOI | WoS
     
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622370
    Albeverio, S., Daletskii, A., Kondratiev, Y., Röckner, M.: Fluctuations and their Glauber dynamics in lattice systems. JOURNAL OF FUNCTIONAL ANALYSIS. 166, 148-167 (1999).
    PUB | DOI | WoS
     
  • [30]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625592
    Ma, Z.-M., Röckner, M., Zhang, T.-S.: Approximation of arbitrary Dirichlet processes by Markov chains. Annales de l'Institut Henri Poincare (B) Probability and Statistics. 34, 1-22 (1998).
    PUB | DOI | WoS
     
  • [29]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626293
    Röckner, M., Schmuland, B.: A support property for infinite-dimensional interacting diffusion processes. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 326, 359-364 (1998).
    PUB | DOI | WoS
     
  • [28]
    1998 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1884927
    Röckner, M.: Stochastic Analysis on Configuration Spaces: Basic Ideas and Recent Results. In: Jost, J. (ed.) New Directions in Dirichlet Forms. Studies in Advances Mathematics. p. 157-231. American Mathematical Society, Providence, RI (1998).
    PUB
     
  • [27]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1884916
    Liskevich, V.I., Röckner, M.: Strong Uniqueness for a Class of Intinite Dimensional Dirichlet Operators and Applications to Stochastic Quantization. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4. 27, 69-91 (1998).
    PUB
     
  • [26]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625042
    Albeverio, S., Kondratiev, Y., Röckner, M.: Analysis and geometry on configuration spaces: The Gibbsian case. JOURNAL OF FUNCTIONAL ANALYSIS. 157, 242-291 (1998).
    PUB | DOI | WoS
     
  • [25]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625675
    Albeverio, S., Kondratiev, Y., Röckner, M.: Analysis and geometry on configuration spaces. JOURNAL OF FUNCTIONAL ANALYSIS. 154, 444-500 (1998).
    PUB | DOI | WoS
     
  • [24]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626150
    Röckner, M., Zhang, T.S.: Convergence of operators semigroups generated by elliptic operators. Osaka Journal of Mathematics. 34, 923-932 (1997).
    PUB | WoS
     
  • [23]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628151
    Albeverio, S., Ma, Z.-M., Röckner, M.: Partitions of unity in Sobolev spaces over infinite dimensional state spaces. Journal of Functional Analysis. 143, 247-268 (1997).
    PUB | DOI | WoS
     
  • [22]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1637772
    Albeverio, S., Kondratiev, Y., Röckner, M.: Ergodicity of L(2)-semigroups and extremality of Gibbs states. JOURNAL OF FUNCTIONAL ANALYSIS. 144, 394-423 (1997).
    PUB | DOI | WoS
     
  • [21]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627421
    Albeverio, S., Kondratiev, Y., Röckner, M.: Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states. JOURNAL OF FUNCTIONAL ANALYSIS. 149, 415-& (1997).
    PUB | DOI | WoS
     
  • [20]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626717
    Albeverio, S., Kondratiev, Y., Röckner, M., Tsikalenko, T.V.: Dobrushin's uniqueness for quantum lattice systems with nonlocal interaction. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 189, 621-630 (1997).
    PUB | DOI | WoS
     
  • [19]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627885
    Albeverio, S., Kondratiev, Y., Röckner, M., Tsikalenko, T.V.: Uniqueness of Gibbs states for quantum lattice systems. PROBABILITY THEORY AND RELATED FIELDS. 108, 193-218 (1997).
    PUB | DOI | WoS
     
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627324
    Albeverio, S., Kondratiev, Y., Röckner, M., Tsikalenko, T.V.: Uniqueness of Gibbs states on loop lattices. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE. 324, 1401-1406 (1997).
    PUB | DOI | WoS
     
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    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638991
    Bogachev, V.I., Röckner, M., Schmuland, B.: Generalized Mehler semigroups and applications. Probability Theory and Related Fields. 105, 193-225 (1996).
    PUB | WoS
     
  • [16]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638061
    Lyons, T.J., Röckner, M., Zhang, T.S.: Martingale decomposition of Dirichlet processes on the Banach space C-0[0,1]. Stochastic Processes and their Applications. 64, 31-38 (1996).
    PUB | DOI | WoS
     
  • [15]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1639025
    Bogachev, V.I., Krylov, N., Röckner, M.: Regularity of invariant measures: The case of non-constant diffusion part. Journal of Functional Analysis. 138, 223-242 (1996).
    PUB | DOI | WoS
     
  • [14]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628627
    Albeverio, S., Kondratiev, Y., Röckner, M.: Differential geometry of Poisson spaces. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE. 323, 1129-1134 (1996).
    PUB | WoS
     
  • [13]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628378
    Albeverio, S., Kondratiev, Y., Röckner, M.: Canonical Dirichlet operator and distorted Brownian motion on Poisson spaces. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE. 323, 1179-1184 (1996).
    PUB | WoS
     
  • [12]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640065
    Bogachev, V.I., Röckner, M.: Regularity of Invariant Measures on Finite and Infinite Dimensional Spaces and Applications. Journal of Functional Analysis. 133, 168-223 (1995).
    PUB | DOI | WoS
     
  • [11]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640337
    Ma, Z.-M., Röckner, M.: Markov Processes Associated With Positivity Preserving Coercive Forms. Canadian Journal of Mathematics = Journal Canadien de Mathématiques . 47, 817-840 (1995).
    PUB | DOI | WoS
     
  • [10]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628636
    Bogachev, V.I., Röckner, M.: Mehler formula and capacities for inifinite dimensional Ornstein-Uhlenbeck processes with General linear drift. Osaka Journal of Mathematics . 32, 237-274 (1995).
    PUB | WoS
     
  • [9]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640061
    Albeverio, S., Kondratiev, Y., Röckner, M.: UNIQUENESS OF THE STOCHASTIC DYNAMICS FOR CONTINUOUS-SPIN SYSTEMS ON A LATTICE. JOURNAL OF FUNCTIONAL ANALYSIS. 133, 10-20 (1995).
    PUB | DOI | WoS
     
  • [8]
    1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641759
    Chen, Z.-Q., Ma, Z.-M., Röckner, M.: Quasi-homeomorphisms of Dirichlet forms. Nagoya Mathematical Journal . 136, 1-15 (1994).
    PUB | DOI | WoS
     
  • [7]
    1992 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1648082
    Albeverio, S., FUKUSHIMA, M., Hansen, W., MA, Z.M., Röckner, M.: An invariance result for capacities on Wiener space. Journal of Functional Analysis. 106, 35-49 (1992).
    PUB | DOI | WoS
     
  • [6]
    1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649910
    Albeverio, S., FUKUSHIMA, M., Hansen, W., MA, Z.M., Röckner, M.: CAPACITIES ON WIENER SPACE - TIGHTNESS AND INVARIANCE. Comptes Rendus de l'Academie des Sciences. Series I, Mathematics . 312, 931-935 (1991).
    PUB | WoS
     
  • [5]
    1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651063
    Potthoff, J., Röckner, M.: On the contraction property of energy forms on infinite-dimensional space. Journal of Functional Analysis. 92, 155-165 (1990).
    PUB | DOI | WoS
     
  • [4]
    1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656492
    Röckner, M.: Specifications and Martin boundaries forP(Φ)2-random fields. Communications in Mathematical Physics. 106, 105-135 (1986).
    PUB | DOI | WoS | Inspire
     
  • [3]
    1985 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1657987
    Röckner, M.: A Dirichlet problem for distributions and specifications for random fields. Memoirs of the American Mathematical Society . 54, 1-76 (1985).
    PUB | DOI | WoS
     
  • [2]
    1985 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1657884
    Röckner, M.: Generalized Markov fields and Dirichlet forms. Acta Applicandae Mathematica. 3, 285-311 (1985).
    PUB | DOI | WoS
     
  • [1]
    1983 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1659692
    Röckner, M.: Markov property of generalized fields and axiomatic potential theory. Mathematische Annalen. 264, 153-177 (1983).
    PUB | DOI | WoS
     
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