Michael Röckner

PEVZ-ID
10585

322 Publikationen

Alle markieren

  • [322]
    2024 | Preprint | Eingereicht | PUB-ID: 2993301
    Herr, S., Röckner, M., Spitz, M., and Zhang, D. (Submitted). The energy-critical stochastic Zakharov system.
    PUB | arXiv
     
  • [321]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2994175
    Gess, B., Röckner, M., and Wu, W. (2024). SVI solutions to stochastic nonlinear diffusion equations on general measure spaces. Journal of Evolution Equations 24:94.
    PUB | DOI | WoS
     
  • [320]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993907
    Barbu, V., and Röckner, M. (2024). “Markov Processes Associated with Nonlinear Fokker-Planck Equations” in Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts, Morel, J. - M., Tong, K., and Teissier, B. eds. Lecture Notes in Mathematics, vol. 2353, (Cham: Springer ), 189-195.
    PUB | DOI | WoS
     
  • [319]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993906
    Barbu, V., and Röckner, M. (2024). “Time Dependent Fokker-Planck Equations” in Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts, Morel, J. - M., Tong, K., and Teissier, B. eds. Lecture Notes in Mathematics, vol. 2353, (Cham: Springer ), 123-145.
    PUB | DOI | WoS
     
  • [318]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993905
    Barbu, V., and Röckner, M. (2024). “Appendix” in Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts , Morel, J. - M., Tong, K., and Teissier, B. eds. Lecture Notes in Mathematics, vol. 2353, (Cham: Springer ), 197-203.
    PUB | DOI | WoS
     
  • [317]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993902
    Barbu, V., and Röckner, M. (2024). “Convergence to Equilibrium of Nonlinear Fokker-Planck Flows” in Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts, Morel, J. - M., Tong, K., and Teissier, B. eds. Lecture Notes in Mathematics, vol. 2353, (Cham: Springer ), 147-188.
    PUB | DOI | WoS
     
  • [316]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993899
    Barbu, V., and Röckner, M. (2024). “Existence of Nonlinear Fokker-Planck Flows” in Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts, Morel, J. - M., Tong, K., and Teissier, B. eds. Lecture Notes in Mathematics, vol. 2353, (Cham: Springer ), 13-122.
    PUB | DOI | WoS
     
  • [315]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993901
    Barbu, V., and Röckner, M. (2024). “Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Introduction” in Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts, Morel, J. - M., Tong, K., and Teissier, B. eds. Lecture Notes in Mathematics, vol. 2353, (Cham: Springer ), 1-11.
    PUB | DOI | WoS
     
  • [314]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993900
    Barbu, V., and Röckner, M. (2024). “Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Preface” in Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts , Morel, J. - M., Tong, K., and Teissier, B. eds. Lecture Notes in Mathematics, vol. 2353, (Cham: Springer ), v-vi.
    PUB | DOI | WoS
     
  • [313]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2992558
    da Silva, J. L., Erraoui, M., and Röckner, M. (2024). Cameron-Martin type theorem for a class of non-Gaussian measures. Stochastic Analysis and Applications .
    PUB | DOI | WoS
     
  • [312]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2992227 OA
    Goldys, B., Nendel, M., and Röckner, M. (2024). Operator semigroups in the mixed topology and the infinitesimal description of Markov processes. JOURNAL OF DIFFERENTIAL EQUATIONS 412, 23-86.
    PUB | PDF | DOI | WoS
     
  • [311]
    2024 | Diskussionspapier | Veröffentlicht | PUB-ID: 2990509 OA
    Federico, S., Ferrari, G., Riedel, F., and Röckner, M. (2024). Variational Inequalities and Smooth-Fit Principle for Singular Stochastic Control Problems in Hilbert Spaces. Center for Mathematical Economics Working Papers, 692, Bielefeld: Center for Mathematical Economics.
    PUB | PDF
     
  • [310]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2990414
    Beznea, C., Beznea, L., and Röckner, M. (2024). Nonlinear Dirichlet Forms Associated with Quasiregular Mappings. Potential Analysis.
    PUB | DOI | WoS
     
  • [309]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990406
    Cheng, M., Hao, Z., and Röckner, M. (2024). Strong and weak convergence for the averaging principle of DDSDE with singular drift. Bernoulli 30, 1586-1610.
    PUB | DOI | WoS
     
  • [308]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2988956
    Barbu, V., and Röckner, M. (2024). Nonlinear Fokker-Planck equations with fractional Laplacian and McKean-Vlasov SDEs with Lévy noise. Probability Theory and Related Fields.
    PUB | DOI | WoS
     
  • [307]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2988486
    Röckner, M., Shang, S., and Zhang, T. (2024). Well-posedness of stochastic partial differential equations with fully local monotone coefficients. Mathematische Annalen .
    PUB | DOI | WoS
     
  • [306]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988477
    Hao, Z., Röckner, M., and Zhang, X. (2024). Strong Convergence of Propagation of Chaos for McKean–Vlasov SDEs with Singular Interactions. SIAM Journal on Mathematical Analysis 56, 2661-2713.
    PUB | DOI | WoS
     
  • [305]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2988233
    Röckner, M., Wu, W., and Xie, Y. (2024). Stochastic Generalized Porous Media Equations Over σ-finiteMeasure Spaces with Non-continuous Diffusivity Function. Potential Analysis.
    PUB | DOI | WoS
     
  • [304]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979256 OA
    Röckner, M., Su, Y., and Zhang, D. (2023). Multi solitary waves to stochastic nonlinear Schrodinger equations. Probability Theory and Related Fields 186, 64.
    PUB | PDF | DOI | WoS
     
  • [303]
    2023 | Preprint | Angenommen | PUB-ID: 2967998
    Herr, S., Röckner, M., Spitz, M., and Zhang, D. (Accepted). The three dimensional stochastic Zakharov system. The Annals of Probability.
    PUB | arXiv
     
  • [302]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2987158
    Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2023). Kolmogorov Problems on Equations for Stationary and Transition Probabilities of Diffusion Processes. Theory of Probability and its Applications 68, 342-369.
    PUB | DOI | WoS
     
  • [301]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2985875
    Li, L., and Röckner, M. (2023). On the Restriction of a Right Process Outside a Negligible Set. Potential Analysis .
    PUB | DOI | WoS
     
  • [300]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2983730
    Röckner, M., Su, Y., and Zhang, D. (2023). Multi-bubble Bourgain-Wang solutions to nonlinear Schrödinger equations. Transactions of the American Mathematical Society.
    PUB | DOI | WoS
     
  • [299]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2983736
    Röckner, M., Xie, L., and Yang, L. (2023). Asymptotic behavior of multiscale stochastic partial differential equations with Hölder coefficients . Journal of Functional Analysis 285:110103.
    PUB | DOI | WoS
     
  • [298]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982786
    Barbu, V., and Röckner, M. (2023). The Evolution to Equilibrium of Solutions to Nonlinear Fokker-Planck Equation. Indiana University Mathematics Journal 72, 89-131.
    PUB | DOI | WoS
     
  • [297]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982779
    Barbu, V., and Röckner, M. (2023). Nonlinear Fokker–Planck Equations with Time-Dependent Coefficients. SIAM Journal on Mathematical Analysis 55, 1-18.
    PUB | DOI | WoS
     
  • [296]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982418
    Albeverio, S., Kawabi, H., Ihalache, S. - R., and Röckner, M. (2023). 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.
    PUB | WoS
     
  • [295]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2982408
    Barbu, V., Röckner, M., and Zhang, D. (2023). Recent Progress on Multi-bubble Blow-ups and Multi-solitons to (Stochastic) Focusing Nonlinear Schrodinger Equations. Vietnam Journal of Mathematics .
    PUB | DOI | WoS
     
  • [294]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980948
    Cheng, M., Liu, Z., and Röckner, M. (2023). Averaging principle for stochastic complex Ginzburg-Landau equations. Journal of Differential Equations 368, 58-104.
    PUB | DOI | WoS
     
  • [293]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2980277
    Beznea, L., Cimpean, I., and Röckner, M. (2023). Strong Feller semigroups and Markov processes: a counterexample. Stochastics and Partial Differential Equations : Analysis and Computations .
    PUB | DOI | WoS
     
  • [292]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980007
    Barbu, V., and Röckner, M. (2023). Uniqueness for nonlinear Fokker-Planck equations and for McKean-Vlasov SDEs: The degenerate case. Journal of Functional Analysis 285:109980.
    PUB | DOI | WoS
     
  • [291]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979711
    Kozitsky, Y., and Röckner, M. (2023). A Markov process for a continuum infinite particle system with attraction*. Electronic Journal of Probability 28, 1-59.
    PUB | DOI | WoS
     
  • [290]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2978304
    Liu, W., Röckner, M., Sun, X., and Xie, Y. (2023). Strong Averaging Principle for Slow-Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients. Applied Mathematics and Optimization 87:39.
    PUB | DOI | WoS
     
  • [289]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969519
    Röckner, M., and Zhao, G. (2023). SDEs with critical time dependent drifts: Weak solutions. Bernoulli 29, 757-784.
    PUB | DOI | WoS
     
  • [288]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969174
    Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2022). Applications of Zvonkin's Transform to Stationary Kolmogorov Equations. Doklady Mathematics 106, 318-321.
    PUB | DOI | WoS
     
  • [287]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2967252
    Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2022). Zvonkin's transform and the regularity of solutions to double divergence form elliptic equations. Communications in Partial Differential Equations .
    PUB | DOI | WoS
     
  • [286]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2965241
    Banas, L., Röckner, M., and Wilke, A. (2022). Correction to: Convergent numerical approximation of the stochastic total variation flow (vol 9, pg 437, 2021). Stochastics and Partial Differential Equations : Analysis and Computations .
    PUB | DOI | WoS
     
  • [285]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2963459
    Ren, P., Röckner, M., and Wang, F. - Y. (2022). Linearization of nonlinear Fokker-Planck equations and applications. Journal of Differential Equations 322, 1-37.
    PUB | DOI | WoS
     
  • [284]
    2022 | Diskussionspapier | Veröffentlicht | PUB-ID: 2962548 OA
    Goldys, B., Nendel, M., and Röckner, M. (2022). Operator Semigroups in the Mixed Topology and the Infinitesimal description of Markov Processes. Center for Mathematical Economics Working Papers, 665, Bielefeld: Center for Mathematical Economics.
    PUB | PDF
     
  • [283]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2962448
    Röckner, M., Xie, L., and Yang, L. (2022). Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations. Stochastics and Partial Differential Equations: Analysis and Computations .
    PUB | DOI | WoS
     
  • [282]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2961636
    Barbu, V., and Röckner, M. (2022). The invariance principle for nonlinear Fokker-Planck equations. Journal of Differential Equations 315, 200-221.
    PUB | DOI | WoS
     
  • [281]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960405
    Nendel, M., and Röckner, M. (2021). 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.
    PUB | DOI | WoS
     
  • [280]
    2021 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2959755
    Barbu, V., and Röckner, M. (2021). Correction to: Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs . Stochastics and Partial Differential Equations: Analysis and Computations .
    PUB | DOI | WoS
     
  • [279]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955128
    Federico, S., Ferrari, G., Riedel, F., and Röckner, M. (2021). On a Class of Infinite-Dimensional Singular Stochastic Control Problems . SIAM Journal on Control and Optimization 59, 1680-1704.
    PUB | DOI | WoS
     
  • [278]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957066
    Liu, W., Röckner, M., and da Silva, J. L. (2021). Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations. Journal of Functional Analysis 281:109135.
    PUB | DOI | WoS
     
  • [277]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956999
    Majid, N. R., and Röckner, M. (2021). 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.
    PUB | DOI | WoS
     
  • [276]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956278
    Röckner, M., Yang, H., and Zhu, R. (2021). Conservative stochastic two-dimensional Cahn–Hilliard equation. Annals of Applied Probability 31, 1336-1375.
    PUB | DOI | WoS
     
  • [275]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955367
    Röckner, M., and Xie, L. (2021). Diffusion approximation for fully coupled stochastic differential equations. Annals of Probability 49, 1205-1236.
    PUB | DOI | WoS
     
  • [274]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955376
    Kozitsky, Y., and Röckner, M. (2021). A Markov process for an infinite interacting particle system in the continuum. Electronic Journal of Probability 26, 1-53.
    PUB | DOI | WoS
     
  • [273]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954682
    Röckner, M., and Xie, L. (2021). Averaging Principle and Normal Deviations for Multiscale Stochastic Systems. Communications in Mathematical Physics 383, 1889–1937.
    PUB | DOI | WoS
     
  • [272]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954223
    Ha, S. - Y., Jung, J., and Röckner, M. (2021). Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication. Journal of Differential Equations 284, 39-82.
    PUB | DOI | WoS
     
  • [271]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954224
    Röckner, M., and Zhang, X. (2021). Well-posedness of distribution dependent SDEs with singular drifts. Bernoulli 27, 1131-1158.
    PUB | DOI | WoS
     
  • [270]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2953834
    Röckner, M., Sun, X., and Xie, Y. (2021). Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations. Annales de l'Institut Henri Poincaré (B): Probability and Statistics 57, 547-576.
    PUB | DOI | WoS
     
  • [269]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2952713
    Barbu, V., and Röckner, M. (2021). Solutions for nonlinear Fokker-Planck equations with measures as initial data and McKean-Vlasov equations. Journal of Functional Analysis 280:108926.
    PUB | DOI | WoS
     
  • [268]
    2021 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2951302
    Lunardi, A., and Röckner, M. (2021). Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces. Journal of the London Mathematical Society .
    PUB | DOI | WoS
     
  • [267]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2950202
    Hao, Z., Röckner, M., and Zhang, X. (2021). Euler scheme for density dependent stochastic differential equations. Journal of Differential Equations 274, 996-1014.
    PUB | DOI | WoS
     
  • [266]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942720 OA
    Banas, L., Röckner, M., and Wilke, A. (2020). Convergent numerical approximation of the stochastic total variation flow. Stochastics and Partial Differential Equations : Analysis and Computations 9, 437-471.
    PUB | PDF | DOI | WoS
     
  • [265]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945459
    Barbu, V., and Röckner, M. (2020). From nonlinear Fokker–Planck equations to solutions of distribution dependent SDE. Annals of Probability 48, 1902-1920.
    PUB | DOI | WoS
     
  • [264]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948625
    Beznea, L., Cimpean, I., and Röckner, M. (2020). A natural extension of Markov processes and applications to singular SDEs. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 56, 2480-2506.
    PUB | DOI | WoS
     
  • [263]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2946115
    Barbu, V., and Röckner, M. (2020). Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs. Stochastics and Partial Differential Equations: Analysis and Computations .
    PUB | DOI | WoS
     
  • [262]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946143
    Barbu, V., Röckner, M., and Zhang, D. (2020). Optimal Control of Nonlinear Stochastic Differential Equations on Hilbert Spaces. SIAM Journal on Control and Optimization 58, 2383-2410.
    PUB | DOI | WoS
     
  • [261]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2945609
    Gordina, M., Röckner, M., and Teplyaev, A. (2020). Ornstein-Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities. Probability Theory and Related Fields.
    PUB | DOI | WoS
     
  • [260]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2945115
    Röckner, M., Xie, L., and Zhang, X. (2020). Superposition principle for non-local Fokker-Planck-Kolmogorov operators. PROBABILITY THEORY AND RELATED FIELDS.
    PUB | DOI | WoS
     
  • [259]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945134
    Röckner, M., Wu, B., Zhu, R., and Zhu, X. (2020). STOCHASTIC HEAT EQUATIONS WITH VALUES IN A MANIFOLD VIA DIRICHLET FORMS. SIAM JOURNAL ON MATHEMATICAL ANALYSIS 52, 2237-2274.
    PUB | DOI | WoS
     
  • [258]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2943809
    Da Prato, G., Flandoli, F., and Röckner, M. (2020). Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure. STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS.
    PUB | DOI | WoS
     
  • [257]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2941889
    Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2020). On the Ambrosio-Figalli-Trevisan Superposition Principle for Probability Solutions to Fokker-Planck-Kolmogorov Equations. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS.
    PUB | DOI | WoS
     
  • [256]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2940088
    Liu, W., Röckner, M., Sun, X., and Xie, Y. (2020). Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients. JOURNAL OF DIFFERENTIAL EQUATIONS 268, 2910-2948.
    PUB | DOI | WoS
     
  • [255]
    2019 | Diskussionspapier | Veröffentlicht | PUB-ID: 2936013 OA
    Nendel, M., and Röckner, M. (2019). Upper Envelopes of Families of Feller Semigroups and Viscosity Solutions to a Class of Nonlinear Cauchy Problems. Center for Mathematical Economics Working Papers, 618, Bielefeld: Center for Mathematical Economics.
    PUB | PDF
     
  • [254]
    2019 | Diskussionspapier | Veröffentlicht | PUB-ID: 2935374 OA
    Federico, S., Ferrari, G., Riedel, F., and Röckner, M. (2019). On a Class of Infinite-Dimensional Singular Stochastic Control Problems. Center for Mathematical Economics Working Papers, 614, Bielefeld: Center for Mathematical Economics.
    PUB | PDF
     
  • [253]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936605
    Röckner, M., Zhu, R., and Zhu, X. (2019). A REMARK ON GLOBAL SOLUTIONS TO RANDOM 3D VORTICITY EQUATIONS FOR SMALL INITIAL DATA. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 24, 4021-4030.
    PUB | DOI | WoS
     
  • [252]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934374
    Huang, X., Röckner, M., and Wang, F. - Y. (2019). Nonlinear Fokker–Planck equations for Probability Measures on Path Space and Path-Distribution Dependent SDEs. Discrete and Continuous Dynamical Systems 39, 3017-3035.
    PUB | DOI | WoS
     
  • [251]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935865
    Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2019). Convergence in variation of solutions of nonlinear Fokker-Planck-Kolmogorov equations to stationary measures. Journal of Functional Analysis 276, 3681-3713.
    PUB | DOI | WoS
     
  • [250]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937112
    Da Prato, G., Flandoli, F., and Röckner, M. (2019). Absolutely continuous solutions for continuity equations in Hilbert spaces. Journal de Mathématiques Pures et Appliquées 128, 42-86.
    PUB | DOI | WoS
     
  • [249]
    2019 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2939170
    Munteanu, I., and Röckner, M. (2019). Global solutions for random vorticity equations perturbed by gradient dependent noise, in two and three dimensions. JOURNAL OF EVOLUTION EQUATIONS.
    PUB | DOI | WoS
     
  • [248]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937867
    Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2019). On the Superposition Principle for Fokker-Planck-Kolmogorov Equations. DOKLADY MATHEMATICS 100, 363-366.
    PUB | DOI | WoS
     
  • [247]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937858
    Da Prato, G., Jentzen, A., and Röckner, M. (2019). A MILD ITO FORMULA FOR SPDES. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 372, 3755-3807.
    PUB | DOI | WoS
     
  • [246]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936025
    Beznea, L., Cimpean, I., and Röckner, M. (2019). A new approach to the existence of invariant measures for Markovian semigroups. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 55, 977-1000.
    PUB | DOI | WoS
     
  • [245]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934350
    Herr, S., Röckner, M., and Zhang, D. (2019). Scattering for stochastic nonlinear Schrödinger equations. Communications in Mathematical Physics 368, 843–884.
    PUB | DOI | Download (ext.) | WoS | arXiv
     
  • [244]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2921248
    Liu, W., Röckner, M., and da Silva, J. L. (2018). Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives. SIAM Journal on Mathematical Analysis 50, 2588-2607.
    PUB | DOI | WoS
     
  • [243]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931232
    Barbu, V., and Röckner, M. (2018). Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise. Journal of Differential Equations 265, 4993-5030.
    PUB | DOI | WoS
     
  • [242]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930270
    Barbu, V., Röckner, M., and Zhang, D. (2018). Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. The Annals of Probability 46, 1957-1999.
    PUB | DOI | WoS
     
  • [241]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920290
    Röckner, M., Wu, B., Zhu, R., and Zhu, X. (2018). Stochastic heat equations with values in a Riemannian manifold. Rendiconti Lincei - Matematica e Applicazioni 29, 205-213.
    PUB | DOI | WoS
     
  • [240]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931261
    Barbu, V., and Röckner, M. (2018). Probabilistic Representation for Solutions to Nonlinear Fokker--Planck Equations . SIAM Journal on Mathematical Analysis 50, 4246-4260.
    PUB | DOI | WoS
     
  • [239]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919313
    Munteanu, I., and Röckner, M. (2018). Total variation flow perturbed by gradient linear multiplicative noise. Infinite Dimensional Analysis, Quantum Probability and Related Topics 21:1850003 .
    PUB | DOI | WoS
     
  • [238]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919046
    Beznea, L., Cimpean, I., and Röckner, M. (2018). Irreducible recurrence, ergodicity, and extremality of invariant measures for resolvents. Stochastic Processes and their Applications 128, 1405-1437.
    PUB | DOI | WoS
     
  • [237]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920683
    Röckner, M., Wu, W., and Xie, Y. (2018). Stochastic porous media equation on general measure spaces with increasing Lipschitz nonlinearities. Stochastic Processes and their Applications 128, 2131-2151.
    PUB | DOI | WoS
     
  • [236]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931102
    Barbu, V., and Röckner, M. (2018). Variational solutions to nonlinear stochastic differential equations in Hilbert spaces. Stochastics and Partial Differential Equations: Analysis and Computations 6, 500-524.
    PUB | DOI | WoS
     
  • [235]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919064
    Grigoryan, A., Ouyang, S., and Röckner, M. (2018). Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 736, 1-31.
    PUB | DOI | WoS
     
  • [234]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932801
    Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2018). Convergence to Stationary Measures in Nonlinear Fokker-Planck-Kolmogorov Equations. DOKLADY MATHEMATICS 98, 452-457.
    PUB | DOI | WoS
     
  • [233]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917179
    Röckner, M., and Wang, F. - Y. (2017). Closability of quadratic forms associated to invariant probability measures of SPDEs. Infinite Dimensional Analysis, Quantum Probability and Related Topics 20:15.
    PUB | DOI | WoS
     
  • [232]
    2017 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2931386
    Albeverio, S., Röckner, M., and Yoshida, M. W. (2017). “Quantum Fields” in Let Us Use White Noise, Hida, T., and Streit, L. eds. (New Jersey, London: World Scientific), 37-65.
    PUB | DOI | Inspire
     
  • [231]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916350
    Barbu, V., Röckner, M., and Russo, F. (2017). Doubly probabilistic representation for the stochastic porous media type equation. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 53, 2043-2073.
    PUB | DOI | WoS
     
  • [230]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914407
    Barbu, V., and Röckner, M. (2017). Global solutions to random 3D vorticity equations for small initial data. Journal of Differential Equations 263, 5395-5411.
    PUB | DOI | WoS
     
  • [229]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2909443
    Barbu, V., Röckner, M., and Zhang, D. (2017). The stochastic logarithmic Schrodinger equation. Journal de Mathématiques Pures et Appliquées 107, 123-149.
    PUB | DOI | WoS
     
  • [228]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914999
    Barbu, V., Röckner, M., and Zhang, D. (2017). Stochastic nonlinear Schrödinger equations: No blow-up in the non-conservative case. Journal of Differential Equations 263, 7919-7940.
    PUB | DOI | WoS
     
  • [227]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916113
    Barbu, V., and Röckner, M. (2017). A splitting algorithm for stochastic partial differential equations driven by linear multiplicative noise. Stochastics and Partial Differential Equations: Analysis and Computations 5, 457-471.
    PUB | DOI | WoS
     
  • [226]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914679
    Röckner, M., and Russo, F. (2017). Uniqueness for a class of stochastic Fokker-Planck and porous media equations. Journal of Evolution Equations 17, 1049-1062.
    PUB | DOI | WoS
     
  • [225]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911757
    Röckner, M., Zhu, R., and Zhu, X. (2017). Ergodicity for the Stochastic Quantization Problems on the 2D-Torus. Communications in Mathematical Physics 353, 1061-1090.
    PUB | DOI | WoS
     
  • [224]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911002
    Röckner, M., Zhu, R., and Zhu, X. (2017). Restricted Markov uniqueness for the stochastic quantization of P(Phi)(2) and its applications. Journal of Functional Analysis 272, 4263-4303.
    PUB | DOI | WoS
     
  • [223]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2910486
    Gess, B., and Röckner, M. (2017). STOCHASTIC VARIATIONAL INEQUALITIES AND REGULARITY FOR DEGENERATE STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 369, 3017-3045.
    PUB | DOI | WoS
     
  • [222]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907737
    Röckner, M., Shin, J., and Trutnau, G. (2016). Non-symmetric distorted Brownian motion: Strong solutions, strong Feller property and non-explosion results. Discrete and Continuous Dynamical Systems. Series B 21, 3219-3237.
    PUB | DOI | WoS
     
  • [221]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904084
    Da Prato, G., Flandoli, F., Röckner, M., and Veretennikov, A. Y. (2016). Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. The Annals of Probability 44, 1985-2023.
    PUB | DOI | WoS
     
  • [220]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904065
    Barbu, V., and Röckner, M. (2016). Backward uniqueness of stochastic parabolic like equations driven by Gaussian multiplicative noise. Stochastic Processes and their Applications 126, 2163-2179.
    PUB | DOI | WoS
     
  • [219]
    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911801
    Barbu, V., Da Prato, G., and Röckner, M. (2016). “Transition Semigroup” in Stochastic porous media equations, Barbu, V., Da Prato, G., and Röckner, M. eds. Lecture Notes in Mathematics, vol. 2163, (Cham: Springer Int Publishing AG), 167-195.
    PUB | DOI | WoS
     
  • [218]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917171
    Marinelli, C., and Röckner, M. (2016). On the maximal inequalities of Burkholder, Davis and Gundy. Expositiones Mathematicae 34, 1-26.
    PUB | DOI | WoS
     
  • [217]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917135
    Barbu, V., Röckner, M., and Zhang, D. (2016). Stochastic nonlinear Schrödinger equations. Nonlinear Analysis: Theory, Methods & Applications 136, 168-194.
    PUB | DOI | WoS
     
  • [216]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2902117
    Ouyang, S. - X., and Röckner, M. (2016). Time inhomogeneous generalized Mehler semigroups and skew convolution equations. Forum Mathematicum 28, 339-376.
    PUB | DOI | WoS
     
  • [215]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901305
    Röckner, M., and Trutnau, G. (2016). About the infinite dimensional skew and obliquely reflected Ornstein-Uhlenbeck process. Infinite Dimensional Analysis Quantum Probability and Related Topics 18:1550031.
    PUB | DOI | WoS
     
  • [214]
    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911796
    Barbu, V., Da Prato, G., and Röckner, M. (2016). “Equations with Lipschitz Nonlinearities” in Stochastic porous media equations, Barbu, V., Da Prato, G., and Röckner, M. eds. Lecture Notes in Mathematics, vol. 2163, (Cham: Springer ), 19-47.
    PUB | DOI | WoS
     
  • [213]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905502
    Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2016). Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations. Journal of Functional Analysis 271, 1262-1300.
    PUB | DOI | WoS
     
  • [212]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917155
    Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2016). Estimates of distances between transition probabilities of diffusions. Doklady Mathematics 93, 135-139.
    PUB | DOI | WoS
     
  • [211]
    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911797
    Barbu, V., Da Prato, G., and Röckner, M. (2016). “Equations with Maximal Monotone Nonlinearities” in Stochastic porous media equations, Barbu, V., Da Prato, G., and Röckner, M. eds. Lecture Notes in Mathematics, vol. 2163, (Cham: Springer ), 49-93.
    PUB | DOI | WoS
     
  • [210]
    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911798
    Barbu, V., Da Prato, G., and Röckner, M. (2016). “Variational Approach to Stochastic Porous Media Equations” in Stochastic porous media equations, Barbu, V., Da Prato, G., and Röckner, M. eds. Lecture Notes in Mathematics, vol. 2163, (Cham: Springer Int Publishing AG), 95-106.
    PUB | DOI | WoS
     
  • [209]
    2016 | Herausgeber*in Sammelwerk | Veröffentlicht | PUB-ID: 2911795
    Barbu, V., Da Prato, G., and Röckner, M. eds. (2016). Stochastic Porous Media Equations Preface. Lecture Notes in Mathematics, 2163, Cham: Springer.
    PUB | DOI | WoS
     
  • [208]
    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911794
    Barbu, V., Da Prato, G., and Röckner, M. (2016). “Stochastic Porous Media Equations Introduction” in Stochastic porous media equations, Barbu, V., Da Prato, G., and Röckner, M. eds. Lecture Notes in Mathematics, vol. 2163, (Cham: Springer Int Publishing AG), 1-18.
    PUB | DOI | WoS
     
  • [207]
    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911800
    Barbu, V., Da Prato, G., and Röckner, M. (2016). “The Stochastic Porous Media Equations in ℝ<sup>d</sup>” in Stochastic porous media equations, Barbu, V., Da Prato, G., and Röckner, M. eds. Lecture Notes in Mathematics, vol. 2163, (Cham: Springer Int Publishing AG), 133-165.
    PUB | DOI | WoS
     
  • [206]
    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911799
    Barbu, V., Da Prato, G., and Röckner, M. (2016). “L-1-Based Approach to Existence Theory for Stochastic Porous Media Equations” in Stochastic porous media equations, Barbu, V., Da Prato, G., and Röckner, M. eds. Lecture Notes in Mathematics, vol. 2163, (Cham: Springer Int Publishing AG), 107-131.
    PUB | DOI | WoS
     
  • [205]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2733472
    Barbu, V., Röckner, M., and Russo, F. (2015). Stochastic porous media equations in ℝ<sup>d</sup>. Journal de Mathématiques Pures et Appliquées 103, 1024-1052.
    PUB | DOI | WoS
     
  • [204]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2730756
    Jentzen, A., and Röckner, M. (2015). A Milstein Scheme for SPDEs. Foundations of Computational Mathematics 15, 313-362.
    PUB | DOI | WoS
     
  • [203]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2780571
    Barbu, V., and Röckner, M. (2015). An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise. Journal of the European Mathematical Society 17, 1789-1815.
    PUB | DOI | WoS
     
  • [202]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901228
    Bogachev, V. I., Da Prato, G., Röckner, M., and Shaposhnikov, S. V. (2015). 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.
    PUB | DOI | WoS
     
  • [201]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2786346
    Bogachev, V. I., Da Prato, G., Röckner, M., and Shaposhnikov, S. V. (2015). On the uniqueness of solutions to continuity equations. Journal of Differential Equations 259, 3854-3873.
    PUB | DOI | WoS
     
  • [200]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901026
    Da Prato, G., Flandoli, F., Priola, E., and Röckner, M. (2015). Strong Uniqueness for Stochastic Evolution Equations with Unbounded Measurable Drift Term. Journal of Theoretical Probability 28, 1571-1600.
    PUB | DOI | WoS
     
  • [199]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2736501
    Beznea, L., and Röckner, M. (2015). On the Existence of the Dual Right Markov Process and Applications. Potential Analysis 42, 617-627.
    PUB | DOI | WoS
     
  • [198]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2772441
    Röckner, M., Zhu, R., and Zhu, X. (2015). Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions. Nonlinear Analysis Theory Methods & Applications 125, 358-397.
    PUB | DOI | WoS
     
  • [197]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2758461
    Röckner, M., Zhu, R., and Zhu, X. (2015). BV functions in a Gelfand triple for differentiable measure and its applications. Forum Mathematicum 27, 1657-1687.
    PUB | DOI | WoS
     
  • [196]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2759912
    Röckner, M., Zhu, R., and Zhu, X. (2015). Sub and supercritical stochastic quasi-geostrophic equation. The Annals of Probability 43, 1202-1273.
    PUB | DOI | WoS
     
  • [195]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901045
    Gess, B., and Röckner, M. (2015). Singular-degenerate Multivalued Stochastic Fast Diffusion Equations. Siam Journal on Mathematical Analysis 47, 4058-4090.
    PUB | DOI | WoS
     
  • [194]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2685876
    Barbu, V., Röckner, M., and Zhang, D. (2014). Stochastic Nonlinear Schrödinger Equations with Linear Multiplicative Noise: Rescaling Approach. Journal of Nonlinear Science 24, 383-409.
    PUB | DOI | WoS
     
  • [193]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2673605
    Kolesnikov, A. V., and Röckner, M. (2014). On continuity equations in infinite dimensions with non-Gaussian reference measure. Journal of Functional Analysis 266, 4490-4537.
    PUB | DOI | WoS
     
  • [192]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677412
    Albeverio, S., Röckner, M., and Yoshida, M. W. (2014). 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.
    PUB | DOI | WoS
     
  • [191]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2699769
    Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2014). On existence of Lyapunov functions for a stationary Kolmogorov equation with a probability solution. Doklady Mathematics 90, 424-428.
    PUB | DOI | WoS
     
  • [190]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660829
    Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2014). On parabolic inequalities for generators of diffusions with jumps. Probability Theory and Related Fields 158, 465-476.
    PUB | DOI | WoS
     
  • [189]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2679627
    Röckner, M., Zhu, R., and Zhu, X. (2014). A note on stochastic semilinear equations and their associated Fokker-Planck equations. Journal of Mathematical Analysis and Applications 415, 83-109.
    PUB | DOI | WoS
     
  • [188]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677363
    Röckner, M., Zhu, R., and Zhu, X. (2014). 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.
    PUB | DOI | WoS
     
  • [187]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2612709
    Barbu, V., and Röckner, M. (2013). Stochastic Variational Inequalities and Applications to the Total Variation Flow Perturbed by Linear Multiplicative Noise. Archive For Rational Mechanics And Analysis 209, 797-834.
    PUB | DOI | WoS
     
  • [186]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625721
    Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2013). On uniqueness of solutions to the Cauchy problem for degenerate Fokker-Planck-Kolmogorov equations. Journal Of Evolution Equations 13, 577-593.
    PUB | DOI | WoS
     
  • [185]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548347
    Liu, W., and Röckner, M. (2013). Local and global well-posedness of SPDE with generalized coercivity conditions. Journal Of Differential Equations 254, 725-755.
    PUB | DOI | WoS
     
  • [184]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2584618
    Röckner, M., and Wang, F. - Y. (2013). General extinction results for stochastic partial differential equations and applications. Journal Of The London Mathematical Society 87, 545-560.
    PUB | DOI | WoS
     
  • [183]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635459
    Hinz, M., Röckner, M., and Teplyaev, A. (2013). Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces. Stochastic Processes And Their Applications 123, 4373-4406.
    PUB | DOI | WoS
     
  • [182]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2612720
    Liu, W., Röckner, M., and Zhu, X. - C. (2013). Large deviation principles for the stochastic quasi-geostrophic equations. Stochastic Processes And Their Applications 123, 3299-3327.
    PUB | DOI | WoS
     
  • [181]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2607125
    Barbu, V., and Röckner, M. (2013). The finite speed of propagation for solutions to nonlinear stochastic wave equations driven by multiplicative noise. Journal Of Differential Equations 255, 560-571.
    PUB | DOI | WoS
     
  • [180]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635507
    Röckner, M., Wang, F. - Y., and Zhang, T. (2013). Stochastic generalized porous media equations with reflection. Stochastic Processes And Their Applications 123, 3943-3962.
    PUB | DOI | WoS
     
  • [179]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2636018
    Da Prato, G., Flandoli, F., Priola, E., and Röckner, M. (2013). Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift. The Annals Of Probability 41, 3306-3344.
    PUB | DOI | WoS
     
  • [178]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2584527
    Hagedorn, D., Kondratiev, Y., Pasurek, T., and Röckner, M. (2013). Gibbs states over the cone of discrete measures. Journal Of Functional Analysis 264, 2550-2583.
    PUB | DOI | WoS
     
  • [177]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2560367
    Da Prato, G., and Röckner, M. (2012). Well posedness of Fokker-Planck equations for generators of time-inhomogeneous Markovian transition probabilities. Rendiconti Lincei - Matematica E Applicazioni 23, 361-376.
    PUB | DOI | WoS
     
  • [176]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2530570
    Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2012). On Positive and Probability Solutions to the Stationary Fokker-Planck-Kolmogorov Equation. Doklady Mathematics 85, 350-354.
    PUB | DOI | WoS
     
  • [175]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2489444
    Barbu, V., and Röckner, M. (2012). Localization of solutions to stochastic porous media equations: finite speed of propagation. Electronic Journal of Probability 17:10.
    PUB | DOI | WoS
     
  • [174]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2493091
    Barbu, V., Da Prato, G., and Röckner, M. (2012). Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise. Journal of Mathematical Analysis and Applications 389, 147-164.
    PUB | DOI | WoS
     
  • [173]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2474345
    Ouyang, S. - X., Röckner, M., and Wang, F. - Y. (2012). Harnack Inequalities and Applications for Ornstein-Uhlenbeck Semigroups with Jump. Potential Analysis 36, 301-315.
    PUB | DOI | WoS
     
  • [172]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454701
    Jentzen, A., and Röckner, M. (2012). Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise. Journal of Differential Equations 252, 114-136.
    PUB | DOI | WoS
     
  • [171]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2493118
    Barbu, V., and Röckner, M. (2012). Stochastic Porous Media Equations and Self-Organized Criticality: Convergence to the Critical State in all Dimensions. Communications in Mathematical Physics 311, 539-555.
    PUB | DOI | WoS
     
  • [170]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454705
    Röckner, M., and Zhang, T. (2012). Stochastic 3D tamed Navier-Stokes equations: Existence, uniqueness and small time large deviation principles. Journal of Differential Equations 252, 716-744.
    PUB | DOI | WoS
     
  • [169]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2501923
    Röckner, M., Zhu, R., and Zhu, X. (2012). STOCHASTIC QUASI-GEOSTROPHIC EQUATION. Infinite Dimensional Analysis Quantum Probability and Related Topics 15:1250001.
    PUB | DOI | WoS
     
  • [168]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2523756
    Röckner, M., Zhu, R., and Zhu, X. (2012). The stochastic reflection problem on an infinite dimensional convex set and BV functions in a Gelfand triple. The Annals of Probability 40, 1759-1794.
    PUB | DOI | WoS
     
  • [167]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548494
    Kondratiev, Y., Pasurek, T., and Röckner, M. (2012). GIBBS MEASURES OF CONTINUOUS SYSTEMS: AN ANALYTIC APPROACH. Reviews In Mathematical Physics 24:1250026.
    PUB | DOI | WoS
     
  • [166]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394382
    Barbu, V., and Röckner, M. (2011). On a random scaled porous media equation. Journal of Differential Equations 251, 2494-2514.
    PUB | DOI | WoS
     
  • [165]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454846
    Barbu, V., Röckner, M., and Russo, F. (2011). Probabilistic representation for solutions of an irregular porous media type equation: the degenerate case. Probability Theory and Related Fields 151, 1-43.
    PUB | DOI | WoS
     
  • [164]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394377
    Beznea, L., Cornea, A., and Röckner, M. (2011). Potential theory of infinite dimensional Levy processes. Journal of Functional Analysis 261, 2845-2876.
    PUB | DOI | WoS
     
  • [163]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394401
    Beznea, L., and Röckner, M. (2011). Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities. Complex Analysis and Operator Theory 5, 731-741.
    PUB | DOI | WoS
     
  • [162]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2093770
    Gordina, M., Röckner, M., and Wang, F. - Y. (2011). Dimension-Independent Harnack Inequalities for Subordinated Semigroups. Potential Analysis 34, 293-307.
    PUB | DOI | WoS
     
  • [161]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2440773
    Beznea, L., and Röckner, M. (2011). From resolvents to cadlag processes through compact excessive functions and applications to singular SDE on Hilbert spaces. Bulletin des Sciences Mathématiques 135, 844-870.
    PUB | DOI | WoS
     
  • [160]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003388
    Beyn, W. - J., Gess, B., Lescot, P., and Röckner, M. (2011). The Global Random Attractor for a Class of Stochastic Porous Media Equations. Communications in Partial Differential Equations 36, 446-469.
    PUB | DOI | WoS
     
  • [159]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2307041
    Gess, B., Liu, W., and Röckner, M. (2011). Random attractors for a class of stochastic partial differential equations driven by general additive noise. Journal of Differential Equations 251, 1225-1253.
    PUB | DOI | WoS
     
  • [158]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929609
    Marinelli, C., and Röckner, M. (2010). On uniqueness of mild solutions for dissipative stochastic evolution equations. Infinite Dimensional Analysis, Quantum Probability and Related Topics 13, 363-376.
    PUB | DOI | WoS
     
  • [157]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796284
    Röckner, M., and Zhang, X. (2010). Weak uniqueness of Fokker-Planck equations with degenerate and bounded coefficients. Comptes Rendus Mathematique 348, 435-438.
    PUB | DOI | WoS
     
  • [156]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1793861
    Liu, W., and Röckner, M. (2010). SPDE in Hilbert space with locally monotone coefficients. Journal of Functional Analysis 259, 2902-2922.
    PUB | DOI | WoS
     
  • [155]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1589498
    Marinelli, C., Prévôt, C., and Röckner, M. (2010). Regular dependence on initial data for stochastic evolution equations with multiplicative Poisson noise. Journal of Functional Analysis 258, 616-649.
    PUB | DOI | WoS
     
  • [154]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929203
    Marinelli, C., and Röckner, M. (2010). Well-posedness and asymptotic behavior for stochastic reaction-diffusion equations with multiplicative Poisson noise. Electronic Journal of Probability 15, 1528-1555.
    PUB | WoS
     
  • [153]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588937
    Röckner, M., Zhang, T., and Zhang, X. (2010). Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations. Applied Mathematics and Optimization 61, 267-285.
    PUB | DOI | WoS
     
  • [152]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794324
    Bogachev, V., Da Prato, G., and Röckner, M. (2010). Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Journal of Evolution Equations 10, 487-509.
    PUB | DOI | WoS
     
  • [151]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796081
    Röckner, M., and Wang, F. - Y. (2010). LOG-HARNACK INEQUALITY FOR STOCHASTIC DIFFERENTIAL EQUATIONS IN HILBERT SPACES AND ITS CONSEQUENCES. Infinite Dimensional Analysis, Quantum Probability and Related Topics 13, 27-37.
    PUB | DOI | WoS
     
  • [150]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968087
    Röckner, M., Zhu, R., and Zhu, X. (2010). 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.
    PUB | DOI | WoS
     
  • [149]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1590687
    Barbu, V., Da Prato, G., and Röckner, M. (2009). Stochastic Nonlinear Diffusion Equations with Singular Diffusivity . SIAM Journal on Mathematical Analysis 41, 1106-1120.
    PUB | DOI | WoS
     
  • [148]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796390
    Röckner, M., and Zhang, X. (2009). Tamed 3D Navier-Stokes Equation: Existence, Uniqueness and Regularity. Infinite Dimensional Analysis, Quantum Probability and Related Topics 12, 525-549.
    PUB | DOI | WoS
     
  • [147]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633336
    Röckner, M., and Zhang, X. (2009). Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity. Probability Theory and Related Fields 145, 211-267.
    PUB | DOI | WoS
     
  • [146]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634128
    Goldys, B., Röckner, M., and Zhang, X. (2009). Martingale solutions and Markov selections for stochastic partial differential equations. Stochastic Processes and their Applications 119, 1725-1764.
    PUB | DOI | WoS
     
  • [145]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633319
    Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2009). Lower estimates of densities of solutions of elliptic equations for measures. Doklady Mathematics 79, 329-334.
    PUB | DOI | WoS
     
  • [144]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1591586
    Röckner, M., and Wang, Y. (2009). 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.
    PUB | DOI | WoS
     
  • [143]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633933
    Barbu, V., Da Prato, G., and Röckner, M. (2009). Existence of strong solutions for stochastic porous media equation under general monotonicity conditions. Annals of Probability 37, 428-452.
    PUB | DOI | WoS
     
  • [142]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1589155
    Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2009). Nonlinear evolution and transport equations for measures. Doklady Mathematics 80, 785-789.
    PUB | DOI | WoS
     
  • [141]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636211
    Barbu, V., Da Prato, G., and Röckner, M. (2009). Stochastic Porous Media Equations and Self-Organized Criticality. Communications in Mathematical Physics 285, 901-923.
    PUB | DOI | WoS
     
  • [140]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1591777
    Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2009). Positive Densities of Transition Probabilities of Diffusion Processes. Theory of Probability & Its Applications 53, 194-215.
    PUB | DOI | WoS
     
  • [139]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635920
    Barbu, V., Da Prato, G., and Röckner, M. (2009). Finite time extinction for solutions to fast diffusion stochastic porous media equations. Comptes Rendus Mathematique 347, 81-84.
    PUB | DOI | WoS
     
  • [138]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635704
    Bogachev, V. I., Da Prato, G., and Röckner, M. (2009). Fokker-Planck equations and maximal dissipativity for Kolmogorov operators with time dependent singular drifts in Hilbert spaces. Journal of Functional Analysis 256, 1269-1298.
    PUB | DOI | WoS
     
  • [137]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795496
    Bogachev, V. I., Krylov, N. V., and Röckner, M. (2009). Elliptic and parabolic equations for measures. Russian Mathematical Surveys 64, 973-1078.
    PUB | DOI | WoS
     
  • [136]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636506
    Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2008). Estimates of Densities of Stationary Distributions and Transition Probabilities of Diffusion Processes . Theory of Probability & Its Applications 52, 209-236.
    PUB | DOI | WoS
     
  • [135]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592104
    Barbu, V., Da Prato, G., and Röckner, M. (2008). Existence and uniqueness of nonnegative solutions to the stochastic porous media equation. Indiana University Mathematics Journal 57, 187-211.
    PUB | DOI | WoS
     
  • [134]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588038
    Bogachev, V. I., Da Prato, G., and Röckner, M. (2008). Infinite dimensional Kolmogorov operators with time dependent drift coefficients. Doklady Mathematics 77, 276-280.
    PUB | DOI | WoS
     
  • [133]
    2008 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1587187
    Röckner, M., Schmuland, B., and Zhang, X. (2008). Yamada-Watanabe theorem for stochastic evolution equations in infinite dimensions. Condensed Matter Physics 11, 247-259.
    PUB | WoS
     
  • [132]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636734
    Röckner, M., and Wang, F. - Y. (2008). Non-monotone stochastic generalized porous media equations. Journal of Differential Equations 245, 3898-3935.
    PUB | DOI | WoS
     
  • [131]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586510
    Bogachev, V. I., Da Prato, G., and Röckner, M. (2008). Parabolic equations for measures on infinite-dimensional spaces. Doklady Mathematics 78, 544-549.
    PUB | DOI | WoS
     
  • [130]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592500
    Bogachev, V. I., Da Prato, G., and Röckner, M. (2008). On parabolic equations for measures. Communications in Partial Differential Equations 33, 397-418.
    PUB | DOI | WoS
     
  • [129]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592122
    Beznea, L., Boboc, N., and Röckner, M. (2008). Markov processes associated with L-P-resolvents, applications to quasi-regular Dirichlet forms and stochastic differential equations. Comptes Rendus Mathematique 346, 323-328.
    PUB | DOI | WoS
     
  • [128]
    2008 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1636273
    Kondratiev, Y., Lytvynov, E., and Röckner, M. (2008). Non-equilibrium stochastic dynamics in continuum: The free case. CONDENSED MATTER PHYSICS 11, 701-721.
    PUB | WoS
     
  • [127]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794538
    Prévôt, C., and Röckner, M. (2007). “Weak and Strong Solutions: the Yamada-Watanabe Theorem” in A Concise Course on Stochastic Partial Differential Equations, Prévôt, C., and Röckner, M. eds. Lecture Notes in Mathematics, vol. 1905, (Berlin: Springer), 121-132.
    PUB | WoS
     
  • [126]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794526
    Prévôt, C., and Röckner, M. (2007). “The Bochner Integral” in A Concise Course on Stochastic Partial Differential Equations, Prévôt, C., and Röckner, M. eds. Lecture Notes in Mathematics, vol. 1905, (Berlin: Springer), 105-108.
    PUB | WoS
     
  • [125]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794520
    Prévôt, C., and Röckner, M. (2007). “Stochastic Differential Equations in Finite Dimensions” in A Concise Course on Stochastic Partial Differential Equations, Prévôt, C., and Röckner, M. eds. Lecture Notes in Mathematics, vol. 1905, (Berlin: Springer), 43-54.
    PUB | DOI | WoS
     
  • [124]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794532
    Prévôt, C., and Röckner, M. (2007). “Pseudo Inverse of Linear Operators” in A Concise Course on Stochastic Partial Differential Equations, Prévôt, C., and Röckner, M. eds. Lecture Notes in Mathematics, vol. 1905, (Berlin: Springer), 115-117.
    PUB | WoS
     
  • [123]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594879
    Ren, J., Röckner, M., and Zhang, X. (2007). Kusuoka-stroock formula on configuration space and regularities of local times with jumps. Potential Analysis 26, 363-396.
    PUB | DOI | WoS
     
  • [122]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1595371
    Röckner, M., and Zhang, T. (2007). Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles. Potential Analysis 26, 255-279.
    PUB | DOI | WoS
     
  • [121]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592663
    Röckner, M., and Trutnau, G. (2007). A remark on the generator of a right-continuous Markov process. Infinite Dimensional Analysis, Quantum Probability and Related Topics 10, 633-640.
    PUB | DOI | WoS
     
  • [120]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794529
    Prévôt, C., and Röckner, M. (2007). “Nuclear and Hilbert-Schmidt Operators” in A Concise Course on Stochastic Partial Differential Equations, Prévôt, C., and Röckner, M. eds. Lecture Notes in Mathematics, vol. 1905, (Berlin: Springer), 109-113.
    PUB | WoS
     
  • [119]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794535
    Prévôt, C., and Röckner, M. (2007). “Some Tools from Real Martingale Theory” in A Concise Course on Stochastic Partial Differential Equations, Prévôt, C., and Röckner, M. eds. Lecture Notes in Mathematics, vol. 1905, (Berlin: Springer), 119-119.
    PUB | WoS
     
  • [118]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794541
    Prévôt, C., and Röckner, M. (2007). “Strong, Mild and Weak Solutions” in A Concise Course on Stochastic Partial Differential Equations, Prévôt, C., and Röckner, M. eds. Lecture Notes in Mathematics, vol. 1905, (Berlin: Springer), 133-136.
    PUB | WoS
     
  • [117]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794514
    Prévôt, C., and Röckner, M. (2007). “Motivation, Aims and Examples” in A Concise Course on Stochastic Partial Differential Equations, Prévôt, C., and Röckner, M. eds. Lecture Notes in Mathematics, vol. 1905, (Berling: Springer), 1-4.
    PUB | DOI | WoS
     
  • [116]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794523
    Prévôt, C., and Röckner, M. (2007). “A Class of Stochastic Differential Equations” in A Concise Course on Stochastic Partial Differential Equations, Prévôt, C., and Röckner, M. eds. Lecture Notes in Mathematics, vol. 1905, (Berlin ; Heidelberg: Springer), 55-103.
    PUB | DOI | WoS
     
  • [115]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794517
    Prévôt, C., and Röckner, M. (2007). “The Stochastic Integral in General Hilbert Spaces (w.r.t. Brownian Motion)” in A Concise Course on Stochastic Partial Differential Equations, Prévôt, C., and Röckner, M. eds. Lecture Notes in Mathematics, vol. 1905, (Berlin ; Heidelberg: Springer), 5-42.
    PUB | DOI | WoS
     
  • [114]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1632672
    Bogachev, V. I., Da Prato, G., Röckner, M., and Stannat, W. (2007). Uniqueness of solutions to weak parabolic equations for measures. Bulletin of the London Mathematical Society 39, 631-640.
    PUB | DOI | WoS
     
  • [113]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631495
    Kondratiev, Y., Lytvynov, E., and Röckner, M. (2007). Equilibrium Kawasaki dynamics of continuous particle systems. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 10, 185-209.
    PUB | DOI | WoS
     
  • [112]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596324
    Grothaus, M., Kondratiev, Y., and Röckner, M. (2007). N/V-limit for stochastic dynamics in continuous particle systems. PROBABILITY THEORY AND RELATED FIELDS 137, 121-160.
    PUB | DOI | WoS
     
  • [111]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1874564
    Röckner, M., and Sobol, Z. (2006). Kolmogorov Equations in Infinite Dimensions: Well-Posedness, Regularity of Solutions, and Applications to Stochastic Generalized Burgers Equations. The Annals of Probability 34, 663-727.
    PUB | DOI | Download (ext.) | WoS
     
  • [110]
    2006 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1872394
    Bogachev, V. I., Da Prato, G., Röckner, M., and Sobol, Z. (2006). “Gradient bounds for solutions of elliptic and parabolic equations” in Stochastic Differential Equations and Applications - VII, Da Prato, G., and Tubaro, L. eds. Lecture notes in pure and applied mathematics, vol. 245, (Boca Raton: Chapman & Hall/CRC), 27-34.
    PUB | Download (ext.)
     
  • [109]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596907
    Beznea, L., Boboc, N., and Röckner, M. (2006). Markov processes associated with L-p-resolvents and applications to stochastic differential equations on Hilbert space. Journal of Evolution Equations 6, 745-772.
    PUB | DOI | WoS
     
  • [108]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597497
    Beznea, L., Boboc, N., and Röckner, M. (2006). Quasi-regular Dirichlet forms and L-p-resolvents on measurable spaces. Potential Analysis 25, 269-282.
    PUB | DOI | WoS
     
  • [107]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596393
    Röckner, M., Wang, F. - Y., and Wu, L. (2006). Large deviations for stochastic generalized porous media equations. Stochastic Processes and their Applications 116, 1677-1689.
    PUB | DOI | WoS
     
  • [106]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599439
    Röckner, M., and Wang, F. - Y. (2006). Functional inequalities for particle systems on Polish spaces. Potential Analysis 24, 223-243.
    PUB | DOI | WoS
     
  • [105]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599008
    Barbu, V., Bogachev, V. I., Da Prato, G., and Röckner, M. (2006). Weak solutions to the stochastic porous media equation via Kolmogorov equations: The degenerate case. Journal of Functional Analysis 237, 54-75.
    PUB | DOI | WoS
     
  • [104]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600893
    Da Prato, G., Röckner, M., Rozovskii, B. L., and Wang, F. - Y. (2006). Strong solutions of stochastic generalized porous media equations: Existence, uniqueness, and ergodicity. Communications in Partial Differential Equations 31, 277-291.
    PUB | DOI | WoS
     
  • [103]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599748
    Kondratiev, Y., Lytvynov, E., and Röckner, M. (2006). Infinite interacting diffusion particles I: Equilibrium process and its scaling limit. FORUM MATHEMATICUM 18, 9-43.
    PUB | DOI | WoS
     
  • [102]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1872405
    Bernabei, S., Röckner, M., Yoshida, M. I. W., and Albeverio, S. (2005). Homogenization with respect to Gibbs measures for periodic drift diffusions on lattices. Comptes Rendus Mathematique 341, 675-678.
    PUB | DOI | WoS
     
  • [101]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1872430
    Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2005). Global regularity and bounds for solutions of parabolic equations for probability measures. SIAM Theory of Probability and its Applications 50, 561-581.
    PUB | DOI | Download (ext.) | WoS
     
  • [100]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605208
    Krylov, N. V., and Röckner, M. (2005). Strong solutions of stochastic equations with singular time dependent drift. Probability Theory and Related Fields 131, 154-196.
    PUB | DOI | WoS
     
  • [99]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600780
    Bogachev, V. I., Krylov, N. V., and Röckner, M. (2005). Regularity and global bounds of densities of invariant measures of diffusion processes. Doklady Mathematics 72, 934-938.
    PUB | WoS
     
  • [98]
    2005 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1872422
    Ren, J., and Röckner, M. (2005). “A remark on sets in infinite dimensional spaces with full or zero capacity” in Stochastic Analysis: Classical and Quantum. Perspectives of white noise theory. (Singapore: World Scientific), 177-186.
    PUB | Download (ext.)
     
  • [97]
    2005 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1874572
    Röckner, M. (2005). “PDE Approach to Invariant and Gibbs Measures with Applications” in Infinite Dimensional Harmonic Analysis III, Heyer, H. ed. Infinite dimensional harmonic analysis, vol. 3, (Hackensack, N.J: World Scientific), 351.
    PUB | Download (ext.)
     
  • [96]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605081
    Cerrai, S., and Röckner, M. (2005). 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.
    PUB | DOI | WoS
     
  • [95]
    2005 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1874610
    Albeverio, S., Röckner, M., Pasurek, T., and Kondratiev, Y. (2005). “Euclidean Gibbs Measures of Quantum Crystals: Existence, Uniqueness and A-Priori Estimates” in Interacting Stochastic Systems, Deuschel, J. - D. ed. (Berlin: Springer), 29-54.
    PUB
     
  • [94]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608612
    Röckner, M., and Wang, F. - Y. (2004). On the spectrum of a class of non-sectorial diffusion operators. Bulletin of the London Mathematical Society 36, 95-104.
    PUB | DOI | WoS
     
  • [93]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606483
    Bogachev, V. I., Da Prato, G., Röckner, M., and Sobol, Z. (2004). Global gradient bounds for dissipative diffusion operators. Comptes Rendus Mathematique 339, 277-282.
    PUB | DOI | WoS
     
  • [92]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607633
    Röckner, M., and Sobol, Z. (2004). A new approach to Kolmogorov equations in infinite dimensions and applications to stochastic generalized Burgers equations. Comptes Rendus Mathematique 338, 945-949.
    PUB | DOI | WoS
     
  • [91]
    2004 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1877234
    Da Prato, G., and Röckner, M. (2004). “Invariant Measures for a Stochastic Porous Medium Equation” in Stochastic Analysis and Related Topics, Kunita, H., Watanabe, S., and Takahashi, Y. eds. Advanced studies in pure mathematics, vol. 41, (Tokyo: Mathematical Soc. of Japan), 13-29.
    PUB | DOI
     
  • [90]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607410
    Bogachev, V. I., Da Prato, G., and Röckner, M. (2004). Invariant measures of generalized stochastic porous medium equations. Doklady Mathematics 69, 321-325.
    PUB | WoS
     
  • [89]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607686
    Da Prato, G., and Röckner, M. (2004). Weak solutions to stochastic porous media equations. Journal of Evolution Equations 4, 249-271.
    PUB | DOI | WoS
     
  • [88]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606613
    Röckner, M., and Zhang, T. S. (2004). 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.
    PUB | DOI | WoS
     
  • [87]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607414
    Bogachev, V. I., Röckner, M., and Wang, F. - Y. (2004). Invariance implies Gibbsian: Some new results. Communications in Mathematical Physics 248, 335-355.
    PUB | DOI | WoS
     
  • [86]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608272
    Cerrai, S., and Röckner, M. (2004). Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term. Annals of Probability 32, 1100-1139.
    PUB | WoS
     
  • [85]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607902
    Bogachev, V. I., Da Prato, G., and Röckner, M. (2004). Existence of solutions to weak parabolic equations for measures. Proceedings of the London Mathematical Society 88, 753-774.
    PUB | DOI | WoS
     
  • [84]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609133
    Lescot, P., and Röckner, M. (2004). Perturbations of generalized Mehler semigroups and applications to stochastic heat equations with Levy noise and singular drift. Potential Analysis 20, 317-344.
    PUB | DOI | WoS
     
  • [83]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607625
    Kondratiev, Y., Konstantinov, A. Y., and Röckner, M. (2004). Uniqueness of diffusion generators for two types of particle systems with singular interactions. JOURNAL OF FUNCTIONAL ANALYSIS 212, 357-372.
    PUB | DOI | WoS
     
  • [82]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608071
    Kondratiev, Y., Rebenko, A. L., and Röckner, M. (2004). On diffusion dynamics for continuous systems with singular superstable interaction. JOURNAL OF MATHEMATICAL PHYSICS 45, 1826-1848.
    PUB | DOI | WoS
     
  • [81]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608265
    Albeverio, S., Kondratiev, Y., Pasurek, T., and Röckner, M. (2004). Euclidean Gibbs measures on loop lattices: Existence and a priori estimates. ANNALS OF PROBABILITY 32, 153-190.
    PUB | WoS
     
  • [80]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609893
    Röckner, M., and Wang, F. - Y. (2003). Supercontractivity and ultracontractivity for (non-symmetric) diffusion semigroups on manifolds. Forum Mathematicum 15, 893-921.
    PUB | DOI | WoS
     
  • [79]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609835
    Bogachev, V. I., and Röckner, M. (2003). On L-P-uniqueness of symmetric diffusion operators on Riemannian manifolds. Sbornik: Mathematics 194, 969-978.
    PUB | DOI | WoS
     
  • [78]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609600
    Cerrai, S., and Röckner, M. (2003). Large deviations for invariant measures of general stochastic reaction-diffusion systems. Comptes Rendus Mathematique 337, 597-602.
    PUB | DOI | WoS
     
  • [77]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612172
    Röckner, M., and Zhang, T. S. (2003). Lower order perturbations of Dirichlet processes. Forum Mathematicum 15, 285-297.
    PUB | DOI | WoS
     
  • [76]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610471
    Röckner, M., and Wang, F. - Y. (2003). Harnack and functional inequalities for generalized Mehler semigroups. Journal of Functional Analysis 203, 237-261.
    PUB | DOI | WoS
     
  • [75]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1611843
    Albeverio, S., Kondratiev, Y., Kozitsky, Y., and Röckner, M. (2003). Quantum stabilization in anharmonic crystals. PHYSICAL REVIEW LETTERS 90:170603.
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [74]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612204
    Kondratiev, Y., Lytvynov, E., and Röckner, M. (2003). The heat semigroup on configuration spaces. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 39, 1-48.
    PUB | DOI | WoS
     
  • [73]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1611030
    Grothaus, M., Kondratiev, Y., Lytvynov, E., and Röckner, M. (2003). Scaling limit of stochastic dynamics in classical continuous systems. ANNALS OF PROBABILITY 31, 1494-1532.
    PUB | WoS
     
  • [72]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609941
    Albeverio, S., Kondratiev, Y., Kozitsky, Y., and Röckner, M. (2003). Small mass implies uniqueness of Gibbs states of a quantum crystal. COMMUNICATIONS IN MATHEMATICAL PHYSICS 241, 69-90.
    PUB | DOI | WoS
     
  • [71]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613244
    Bogachev, V. I., Röckner, M., and Stannat, W. (2002). Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions. Sbornik: Mathematics 193, 945-976.
    PUB | DOI | WoS
     
  • [70]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613192
    Da Prato, G., and Röckner, M. (2002). Singular dissipative stochastic equations in Hilbert spaces. Probability Theory and Related Fields 124, 261-303.
    PUB | DOI | WoS
     
  • [69]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613297
    Lescot, P., and Röckner, M. (2002). Generators of mehler-type semigroups as pseudo-differential operators. Infinite Dimensional Analysis, Quantum Probability and Related Topics 5, 297-315.
    PUB | DOI | WoS
     
  • [68]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613047
    Bogachev, V. I., Pugachev, O. V., and Röckner, M. (2002). Surface measures and tightness of Sobolev capacities on Poisson space. Doklady Mathematics 66, 157-160.
    PUB | WoS
     
  • [67]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613006
    Bogachev, V. I., Pugachev, O. V., and Röckner, M. (2002). Surface measures and tightness of (r,p)-capacities on Poisson space. Journal of Functional Analysis 196, 61-86.
    PUB | DOI | WoS
     
  • [66]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613051
    Bogachev, V. I., Wang, F. Y., and Röckner, M. (2002). Invariant measures of stochastic gradient systems in Riemannian manifolds and Gibbs measures. Doklady Mathematics 66, 179-183.
    PUB | WoS
     
  • [65]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613055
    Bogachev, V. I., Da Prato, G., and Röckner, M. (2002). On weak parabolic equations for probability measures. Doklady Mathematics 66, 192-196.
    PUB | WoS
     
  • [64]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612751
    Albeverio, S., Kondratiev, Y., Kozitsky, Y., and Röckner, M. (2002). Euclidean Gibbs states of quantum lattice systems. REVIEWS IN MATHEMATICAL PHYSICS 14, 1335-1401.
    PUB | DOI | WoS
     
  • [63]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612947
    Albeverio, S., Kondratiev, Y., Kozitsky, Y., and Röckner, M. (2002). Gibbs states of a quantum crystal: uniqueness by small particle mass. COMPTES RENDUS MATHEMATIQUE 335, 693-698.
    PUB | DOI | WoS
     
  • [62]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615560
    Bogachev, V. I., Krylov, N. V., and Röckner, M. (2001). On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions. Communications in Partial Differential Equations 26, 2037-2080.
    PUB | DOI | WoS
     
  • [61]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616121
    Röckner, M., and Wang, F. - Y. (2001). Weak Poincaré inequalities and L-2-convergence rates of Markov semigroups. Journal of Functional Analysis 185, 564-603.
    PUB | DOI | WoS
     
  • [60]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617681
    Bogachev, V., Röckner, M., and Wang, F. - Y. (2001). 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.
    PUB | DOI | WoS
     
  • [59]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617720
    Bogachev, V. P., Krylov, N. V., and Röckner, M. (2001). Differentiability of the invariant measures and transition probabilities of singular diffusions. Doklady Mathematics 63, 18-21.
    PUB | WoS
     
  • [58]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616117
    Gong, F., Röckner, M., and Liming, W. (2001). Poincaré inequality for weighted first order Sobolev spaces on loop spaces. Journal of Functional Analysis 185, 527-563.
    PUB | DOI | WoS
     
  • [57]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617754
    Bogachev, V. I., Röckner, M., and Wang, F. - Y. (2001). Elliptic equations for invariant measures on finite and infinite dimensional manifolds. Journal de Mathématiques Pures et Appliquées 80, 177-221.
    PUB | DOI | WoS
     
  • [56]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616748
    Bogachev, V. I., Wang, F. Y., and Röckner, M. (2001). Elliptic equations associated with invariant measures of diffusions on finite- and infinite-dimensional manifolds. Doklady Mathematics 63, 351-354.
    PUB | WoS
     
  • [55]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616354
    Bogachev, V. I., and Röckner, M. (2001). Elliptic equations for measures on infinite dimensional spaces and applications. Probability Theory and Related Fields 120, 445-496.
    PUB | DOI | WoS
     
  • [54]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615484
    Finkelshtein, D. L., Kondratiev, Y., Röckner, M., and Konstantinov, A. Y. (2001). Gauss formula and symmetric extensions of the Laplacian on configuration spaces. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 4, 489-509.
    PUB | DOI | WoS
     
  • [53]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616247
    Albeverio, S., Grothaus, M., Kondratiev, Y., and Röckner, M. (2001). Stochastic dynamics of fluctuations in classical continuous systems. JOURNAL OF FUNCTIONAL ANALYSIS 185, 129-154.
    PUB | DOI | WoS
     
  • [52]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617829
    da Silva, J., Kondratiev, Y., and Röckner, M. (2001). On a relation between intrinsic and extrinsic Dirichlet forms for interacting particle systems. MATHEMATISCHE NACHRICHTEN 222, 141-157.
    PUB | DOI | WoS
     
  • [51]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615500
    Albeverio, S., Kondratiev, Y., Pasurek, T., and Röckner, M. (2001). Gibbs states on loop lattices: existence and a priori estimates. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 333, 1005-1009.
    PUB | DOI | WoS
     
  • [50]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617918
    Albeverio, S., Kondratiev, Y., Kozitsky, Y., and Röckner, M. (2001). Uniqueness for Gibbs measures of quantum lattices in small mass regime. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 37, 43-69.
    PUB | DOI | WoS
     
  • [49]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616433
    Bogachev, V., and Röckner, M. (2000). A generalization of Khasminskii's theorem on the existence of invariant measures for locally integrable drifts. Theory of Probability & Its Applications 45, 363-378.
    PUB | DOI | WoS
     
  • [48]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619467
    Ren, J., and Röckner, M. (2000). Ray Hölder-continuity for fractional Sobolev spaces in infinite dimensions and applications. Probability Theory and Related Fields 117, 201-220.
    PUB | DOI | WoS
     
  • [47]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621240
    Bogachev, V., Röckner, M., and Zhang, T. S. (2000). Existence and uniqueness of invariant measures: An approach via sectorial forms. Applied Mathematics and Optimization 41, 87-109.
    PUB | DOI | WoS
     
  • [46]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620587
    Fuhrman, M., and Röckner, M. (2000). Generalized Mehler semigroups: The non-Gaussian case. Potential Analysis 12, 1-47.
    PUB | DOI | WoS
     
  • [45]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619161
    Ma, Z. - M., and Röckner, M. (2000). Construction of diffusions on configuration spaces. Osaka Journal of Mathematics 37, 273-314.
    PUB | WoS
     
  • [44]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617639
    Ma, Z. - M., Röckner, M., and Sun, W. (2000). Approximation of Hunt processes by multivariate Poisson processes. Acta Applicandae Mathematica 63, 233-243.
    PUB | DOI | WoS
     
  • [43]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617634
    Albeverio, S., Daletskii, A., Kondratiev, Y., and Röckner, M. (2000). Stochastic dynamics of compact spins: Ergodicity and irreducibility. ACTA APPLICANDAE MATHEMATICAE 63, 27-40.
    PUB | DOI | WoS
     
  • [42]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620414
    Albeverio, S., Kondratiev, Y., Röckner, M., and Tsikalenko, T. V. (2000). A priori estimates for symmetrizing measures and their applications to Gibbs states. JOURNAL OF FUNCTIONAL ANALYSIS 171, 366-400.
    PUB | DOI | WoS
     
  • [41]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620659
    Liskevich, V., Sobol, Z., and Röckner, M. (1999). 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.
    PUB | DOI | WoS
     
  • [40]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621467
    Bogachev, V., and Röckner, M. (1999). Elliptic equations for infinite dimensional probability distributions and Lyapunov functions. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 329, 705-710.
    PUB | DOI | WoS
     
  • [39]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623139
    Bogachev, V., Lescot, P., and Röckner, M. (1999). The martingale problem for pseudo-differential operators on infinite-dimensional spaces. Nagoya Mathematical Journal 153, 101-118.
    PUB | DOI | WoS
     
  • [38]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620925
    Röckner, M., and Schied, A. (1999). Rademacher's theorem on configuration spaces and applications. Journal of Functional Analysis 169, 325-356.
    PUB | DOI | WoS
     
  • [37]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621097
    Röckner, M., and Zhang, T. S. (1999). Probabilistic representations and hyperbound estimates for semigroups. Infinite Dimensional Analysis, Quantum Probability and Related Topics 2, 337-358.
    PUB | DOI | WoS
     
  • [36]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622169
    Albeverio, S., Hu, Y. Z., Röckner, M., and Zhou, X. Y. (1999). Stochastic quantization of the two-dimensional polymer measure. Applied Mathematics and Optimization 40, 341-354.
    PUB | DOI | WoS
     
  • [35]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623685
    Albeverio, S., Bogachev, V., and Röckner, M. (1999). On uniqueness of invariant measures for finite- and infinite-dimensional diffusions. Communications on Pure and Applied Mathematics 52, 325-362.
    PUB | DOI | WoS
     
  • [34]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623534
    Albeverio, S., Kondratiev, Y., and Röckner, M. (1999). Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory. REVIEWS IN MATHEMATICAL PHYSICS 11, 1-23.
    PUB | WoS
     
  • [33]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622749
    Albeverio, S., Kondratiev, Y., Röckner, M., and Tsikalenko, T. V. (1999). A-priori estimates and existence of Gibbs measures: a simplified proof. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 328, 1049-1054.
    PUB | DOI | WoS
     
  • [32]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622857
    Kondratiev, Y., Konstantinov, A. Y., Röckner, M., and Shchepan'uk, G. V. (1999). Scattering problem for local perturbations of the free quantum gas. COMMUNICATIONS IN MATHEMATICAL PHYSICS 203, 421-444.
    PUB | DOI | WoS
     
  • [31]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622370
    Albeverio, S., Daletskii, A., Kondratiev, Y., and Röckner, M. (1999). Fluctuations and their Glauber dynamics in lattice systems. JOURNAL OF FUNCTIONAL ANALYSIS 166, 148-167.
    PUB | DOI | WoS
     
  • [30]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625592
    Ma, Z. - M., Röckner, M., and Zhang, T. - S. (1998). Approximation of arbitrary Dirichlet processes by Markov chains. Annales de l'Institut Henri Poincare (B) Probability and Statistics 34, 1-22.
    PUB | DOI | WoS
     
  • [29]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626293
    Röckner, M., and Schmuland, B. (1998). A support property for infinite-dimensional interacting diffusion processes. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 326, 359-364.
    PUB | DOI | WoS
     
  • [28]
    1998 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1884927
    Röckner, M. (1998). “Stochastic Analysis on Configuration Spaces: Basic Ideas and Recent Results” in New Directions in Dirichlet Forms, Jost, J. ed. Studies in Advances Mathematics (Providence, RI: American Mathematical Society), 157-231.
    PUB
     
  • [27]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1884916
    Liskevich, V. I., and Röckner, M. (1998). 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.
    PUB
     
  • [26]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625042
    Albeverio, S., Kondratiev, Y., and Röckner, M. (1998). Analysis and geometry on configuration spaces: The Gibbsian case. JOURNAL OF FUNCTIONAL ANALYSIS 157, 242-291.
    PUB | DOI | WoS
     
  • [25]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625675
    Albeverio, S., Kondratiev, Y., and Röckner, M. (1998). Analysis and geometry on configuration spaces. JOURNAL OF FUNCTIONAL ANALYSIS 154, 444-500.
    PUB | DOI | WoS
     
  • [24]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626150
    Röckner, M., and Zhang, T. S. (1997). Convergence of operators semigroups generated by elliptic operators. Osaka Journal of Mathematics 34, 923-932.
    PUB | WoS
     
  • [23]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628151
    Albeverio, S., Ma, Z. - M., and Röckner, M. (1997). Partitions of unity in Sobolev spaces over infinite dimensional state spaces. Journal of Functional Analysis 143, 247-268.
    PUB | DOI | WoS
     
  • [22]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627421
    Albeverio, S., Kondratiev, Y., and Röckner, M. (1997). Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states. JOURNAL OF FUNCTIONAL ANALYSIS 149, 415-&.
    PUB | DOI | WoS
     
  • [21]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1637772
    Albeverio, S., Kondratiev, Y., and Röckner, M. (1997). Ergodicity of L(2)-semigroups and extremality of Gibbs states. JOURNAL OF FUNCTIONAL ANALYSIS 144, 394-423.
    PUB | DOI | WoS
     
  • [20]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626717
    Albeverio, S., Kondratiev, Y., Röckner, M., and Tsikalenko, T. V. (1997). Dobrushin's uniqueness for quantum lattice systems with nonlocal interaction. COMMUNICATIONS IN MATHEMATICAL PHYSICS 189, 621-630.
    PUB | DOI | WoS
     
  • [19]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627885
    Albeverio, S., Kondratiev, Y., Röckner, M., and Tsikalenko, T. V. (1997). Uniqueness of Gibbs states for quantum lattice systems. PROBABILITY THEORY AND RELATED FIELDS 108, 193-218.
    PUB | DOI | WoS
     
  • [18]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627324
    Albeverio, S., Kondratiev, Y., Röckner, M., and Tsikalenko, T. V. (1997). Uniqueness of Gibbs states on loop lattices. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 324, 1401-1406.
    PUB | DOI | WoS
     
  • [17]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638991
    Bogachev, V. I., Röckner, M., and Schmuland, B. (1996). Generalized Mehler semigroups and applications. Probability Theory and Related Fields 105, 193-225.
    PUB | WoS
     
  • [16]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638061
    Lyons, T. J., Röckner, M., and Zhang, T. S. (1996). Martingale decomposition of Dirichlet processes on the Banach space C-0[0,1]. Stochastic Processes and their Applications 64, 31-38.
    PUB | DOI | WoS
     
  • [15]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1639025
    Bogachev, V. I., Krylov, N., and Röckner, M. (1996). Regularity of invariant measures: The case of non-constant diffusion part. Journal of Functional Analysis 138, 223-242.
    PUB | DOI | WoS
     
  • [14]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628627
    Albeverio, S., Kondratiev, Y., and Röckner, M. (1996). Differential geometry of Poisson spaces. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 323, 1129-1134.
    PUB | WoS
     
  • [13]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628378
    Albeverio, S., Kondratiev, Y., and Röckner, M. (1996). Canonical Dirichlet operator and distorted Brownian motion on Poisson spaces. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 323, 1179-1184.
    PUB | WoS
     
  • [12]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640065
    Bogachev, V. I., and Röckner, M. (1995). Regularity of Invariant Measures on Finite and Infinite Dimensional Spaces and Applications. Journal of Functional Analysis 133, 168-223.
    PUB | DOI | WoS
     
  • [11]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640337
    Ma, Z. - M., and Röckner, M. (1995). Markov Processes Associated With Positivity Preserving Coercive Forms. Canadian Journal of Mathematics = Journal Canadien de Mathématiques 47, 817-840.
    PUB | DOI | WoS
     
  • [10]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628636
    Bogachev, V. I., and Röckner, M. (1995). Mehler formula and capacities for inifinite dimensional Ornstein-Uhlenbeck processes with General linear drift. Osaka Journal of Mathematics 32, 237-274.
    PUB | WoS
     
  • [9]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640061
    Albeverio, S., Kondratiev, Y., and Röckner, M. (1995). UNIQUENESS OF THE STOCHASTIC DYNAMICS FOR CONTINUOUS-SPIN SYSTEMS ON A LATTICE. JOURNAL OF FUNCTIONAL ANALYSIS 133, 10-20.
    PUB | DOI | WoS
     
  • [8]
    1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641759
    Chen, Z. - Q., Ma, Z. - M., and Röckner, M. (1994). Quasi-homeomorphisms of Dirichlet forms. Nagoya Mathematical Journal 136, 1-15.
    PUB | DOI | WoS
     
  • [7]
    1992 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1648082
    Albeverio, S., FUKUSHIMA, M., Hansen, W., MA, Z. M., and Röckner, M. (1992). An invariance result for capacities on Wiener space. Journal of Functional Analysis 106, 35-49.
    PUB | DOI | WoS
     
  • [6]
    1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649910
    Albeverio, S., FUKUSHIMA, M., Hansen, W., MA, Z. M., and Röckner, M. (1991). CAPACITIES ON WIENER SPACE - TIGHTNESS AND INVARIANCE. Comptes Rendus de l'Academie des Sciences. Series I, Mathematics 312, 931-935.
    PUB | WoS
     
  • [5]
    1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651063
    Potthoff, J., and Röckner, M. (1990). On the contraction property of energy forms on infinite-dimensional space. Journal of Functional Analysis 92, 155-165.
    PUB | DOI | WoS
     
  • [4]
    1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656492
    Röckner, M. (1986). Specifications and Martin boundaries forP(Φ)2-random fields. Communications in Mathematical Physics 106, 105-135.
    PUB | DOI | WoS | Inspire
     
  • [3]
    1985 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1657987
    Röckner, M. (1985). A Dirichlet problem for distributions and specifications for random fields. Memoirs of the American Mathematical Society 54, 1-76.
    PUB | DOI | WoS
     
  • [2]
    1985 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1657884
    Röckner, M. (1985). Generalized Markov fields and Dirichlet forms. Acta Applicandae Mathematica 3, 285-311.
    PUB | DOI | WoS
     
  • [1]
    1983 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1659692
    Röckner, M. (1983). Markov property of generalized fields and axiomatic potential theory. Mathematische Annalen 264, 153-177.
    PUB | DOI | WoS
     
Markierte Publikation(en)

Suche

Publikationen filtern

Darstellung / Sortierung

Export / Einbettung