Michael Röckner

PEVZ-ID
10585

322 Publikationen

Alle markieren

  • [322]
    2024 | Preprint | Eingereicht | PUB-ID: 2993301
    Herr, S., et al., Submitted. The energy-critical stochastic Zakharov system.
    PUB | arXiv
     
  • [321]
    2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2994175
    Gess, B., Röckner, M., & Wu, W., 2024. SVI solutions to stochastic nonlinear diffusion equations on general measure spaces. Journal of Evolution Equations, 24(4): 94.
    PUB | DOI | WoS
     
  • [320]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993907
    Barbu, V., & Röckner, M., 2024. Markov Processes Associated with Nonlinear Fokker-Planck Equations. In J. - M. Morel, K. Tong, & B. Teissier, eds. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Lecture Notes in Mathematics. no.2353 Cham: Springer , pp. 189-195.
    PUB | DOI | WoS
     
  • [319]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993906
    Barbu, V., & Röckner, M., 2024. Time Dependent Fokker-Planck Equations. In J. - M. Morel, K. Tong, & B. Teissier, eds. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Lecture Notes in Mathematics. no.2353 Cham: Springer , pp. 123-145.
    PUB | DOI | WoS
     
  • [318]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993905
    Barbu, V., & Röckner, M., 2024. Appendix. In J. - M. Morel, K. Tong, & B. Teissier, eds. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts . Lecture Notes in Mathematics. no.2353 Cham: Springer , pp. 197-203.
    PUB | DOI | WoS
     
  • [317]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993902
    Barbu, V., & Röckner, M., 2024. Convergence to Equilibrium of Nonlinear Fokker-Planck Flows. In J. - M. Morel, K. Tong, & B. Teissier, eds. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Lecture Notes in Mathematics. no.2353 Cham: Springer , pp. 147-188.
    PUB | DOI | WoS
     
  • [316]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993899
    Barbu, V., & Röckner, M., 2024. Existence of Nonlinear Fokker-Planck Flows. In J. - M. Morel, K. Tong, & B. Teissier, eds. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Lecture Notes in Mathematics. no.2353 Cham: Springer , pp. 13-122.
    PUB | DOI | WoS
     
  • [315]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993901
    Barbu, V., & Röckner, M., 2024. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Introduction. In J. - M. Morel, K. Tong, & B. Teissier, eds. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Lecture Notes in Mathematics. no.2353 Cham: Springer , pp. 1-11.
    PUB | DOI | WoS
     
  • [314]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993900
    Barbu, V., & Röckner, M., 2024. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Preface. In J. - M. Morel, K. Tong, & B. Teissier, eds. Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts . Lecture Notes in Mathematics. no.2353 Cham: Springer , pp. v-vi.
    PUB | DOI | WoS
     
  • [313]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2992558
    da Silva, J.L., Erraoui, M., & 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., & Röckner, M., 2024. Operator semigroups in the mixed topology and the infinitesimal description of Markov processes. JOURNAL OF DIFFERENTIAL EQUATIONS, 412, p 23-86.
    PUB | PDF | DOI | WoS
     
  • [311]
    2024 | Diskussionspapier | Veröffentlicht | PUB-ID: 2990509 OA
    Federico, S., et al., 2024. Variational Inequalities and Smooth-Fit Principle for Singular Stochastic Control Problems in Hilbert Spaces, Center for Mathematical Economics Working Papers, no.692, Bielefeld: Center for Mathematical Economics.
    PUB | PDF
     
  • [310]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2990414
    Beznea, C., Beznea, L., & 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., & Röckner, M., 2024. Strong and weak convergence for the averaging principle of DDSDE with singular drift. Bernoulli, 30(2), p 1586-1610.
    PUB | DOI | WoS
     
  • [308]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2988956
    Barbu, V., & 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., & 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., & Zhang, X., 2024. Strong Convergence of Propagation of Chaos for McKean–Vlasov SDEs with Singular Interactions. SIAM Journal on Mathematical Analysis , 56(2), p 2661-2713.
    PUB | DOI | WoS
     
  • [305]
    2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2988233
    Röckner, M., Wu, W., & 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., & Zhang, D., 2023. Multi solitary waves to stochastic nonlinear Schrodinger equations. Probability Theory and Related Fields, 186, p 64.
    PUB | PDF | DOI | WoS
     
  • [303]
    2023 | Preprint | Angenommen | PUB-ID: 2967998
    Herr, S., et al., 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., & Shaposhnikov, S.V., 2023. Kolmogorov Problems on Equations for Stationary and Transition Probabilities of Diffusion Processes. Theory of Probability and its Applications, 68(3), p 342-369.
    PUB | DOI | WoS
     
  • [301]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2985875
    Li, L., & 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., & 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., & Yang, L., 2023. Asymptotic behavior of multiscale stochastic partial differential equations with Hölder coefficients . Journal of Functional Analysis, 285(9): 110103.
    PUB | DOI | WoS
     
  • [298]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982786
    Barbu, V., & Röckner, M., 2023. The Evolution to Equilibrium of Solutions to Nonlinear Fokker-Planck Equation. Indiana University Mathematics Journal , 72(1), p 89-131.
    PUB | DOI | WoS
     
  • [297]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982779
    Barbu, V., & Röckner, M., 2023. Nonlinear Fokker–Planck Equations with Time-Dependent Coefficients. SIAM Journal on Mathematical Analysis, 55(1), p 1-18.
    PUB | DOI | WoS
     
  • [296]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982418
    Albeverio, S., et al., 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(1), p 33-69.
    PUB | WoS
     
  • [295]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2982408
    Barbu, V., Röckner, M., & 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., & Röckner, M., 2023. Averaging principle for stochastic complex Ginzburg-Landau equations. Journal of Differential Equations, 368, p 58-104.
    PUB | DOI | WoS
     
  • [293]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2980277
    Beznea, L., Cimpean, I., & 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., & Röckner, M., 2023. Uniqueness for nonlinear Fokker-Planck equations and for McKean-Vlasov SDEs: The degenerate case. Journal of Functional Analysis, 285(4): 109980.
    PUB | DOI | WoS
     
  • [291]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979711
    Kozitsky, Y., & Röckner, M., 2023. A Markov process for a continuum infinite particle system with attraction*. Electronic Journal of Probability , 28, p 1-59.
    PUB | DOI | WoS
     
  • [290]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2978304
    Liu, W., et al., 2023. Strong Averaging Principle for Slow-Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients. Applied Mathematics and Optimization , 87(3): 39.
    PUB | DOI | WoS
     
  • [289]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969519
    Röckner, M., & Zhao, G., 2023. SDEs with critical time dependent drifts: Weak solutions. Bernoulli , 29(1), p 757-784.
    PUB | DOI | WoS
     
  • [288]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969174
    Bogachev, V.I., Röckner, M., & Shaposhnikov, S.V., 2022. Applications of Zvonkin's Transform to Stationary Kolmogorov Equations. Doklady Mathematics, 106(2), p 318-321.
    PUB | DOI | WoS
     
  • [287]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2967252
    Bogachev, V.I., Röckner, M., & 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., & 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., & Wang, F.-Y., 2022. Linearization of nonlinear Fokker-Planck equations and applications. Journal of Differential Equations , 322, p 1-37.
    PUB | DOI | WoS
     
  • [284]
    2022 | Diskussionspapier | Veröffentlicht | PUB-ID: 2962548 OA
    Goldys, B., Nendel, M., & Röckner, M., 2022. Operator Semigroups in the Mixed Topology and the Infinitesimal description of Markov Processes, Center for Mathematical Economics Working Papers, no.665, Bielefeld: Center for Mathematical Economics.
    PUB | PDF
     
  • [283]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2962448
    Röckner, M., Xie, L., & 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., & Röckner, M., 2022. The invariance principle for nonlinear Fokker-Planck equations. Journal of Differential Equations , 315, p 200-221.
    PUB | DOI | WoS
     
  • [281]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960405
    Nendel, M., & 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(6), p 4400-4428.
    PUB | DOI | WoS
     
  • [280]
    2021 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2959755
    Barbu, V., & 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., et al., 2021. On a Class of Infinite-Dimensional Singular Stochastic Control Problems . SIAM Journal on Control and Optimization, 59(2), p 1680-1704.
    PUB | DOI | WoS
     
  • [278]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957066
    Liu, W., Röckner, M., & da Silva, J.L., 2021. Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations. Journal of Functional Analysis, 281(8): 109135.
    PUB | DOI | WoS
     
  • [277]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956999
    Majid, N.R., & 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(02): 2150011.
    PUB | DOI | WoS
     
  • [276]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956278
    Röckner, M., Yang, H., & Zhu, R., 2021. Conservative stochastic two-dimensional Cahn–Hilliard equation. Annals of Applied Probability, 31(3), p 1336-1375.
    PUB | DOI | WoS
     
  • [275]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955367
    Röckner, M., & Xie, L., 2021. Diffusion approximation for fully coupled stochastic differential equations. Annals of Probability, 49(3), p 1205-1236.
    PUB | DOI | WoS
     
  • [274]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955376
    Kozitsky, Y., & Röckner, M., 2021. A Markov process for an infinite interacting particle system in the continuum. Electronic Journal of Probability , 26, p 1-53.
    PUB | DOI | WoS
     
  • [273]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954682
    Röckner, M., & Xie, L., 2021. Averaging Principle and Normal Deviations for Multiscale Stochastic Systems. Communications in Mathematical Physics, 383(3), p 1889–1937.
    PUB | DOI | WoS
     
  • [272]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954223
    Ha, S.-Y., Jung, J., & Röckner, M., 2021. Collective stochastic dynamics of the Cucker-Smale ensemble under uncertain communication. Journal of Differential Equations, 284, p 39-82.
    PUB | DOI | WoS
     
  • [271]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954224
    Röckner, M., & Zhang, X., 2021. Well-posedness of distribution dependent SDEs with singular drifts. Bernoulli , 27(2), p 1131-1158.
    PUB | DOI | WoS
     
  • [270]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2953834
    Röckner, M., Sun, X., & 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(1), p 547-576.
    PUB | DOI | WoS
     
  • [269]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2952713
    Barbu, V., & Röckner, M., 2021. Solutions for nonlinear Fokker-Planck equations with measures as initial data and McKean-Vlasov equations. Journal of Functional Analysis, 280(7): 108926.
    PUB | DOI | WoS
     
  • [268]
    2021 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2951302
    Lunardi, A., & 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., & Zhang, X., 2021. Euler scheme for density dependent stochastic differential equations. Journal of Differential Equations, 274, p 996-1014.
    PUB | DOI | WoS
     
  • [266]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942720 OA
    Banas, L., Röckner, M., & Wilke, A., 2020. Convergent numerical approximation of the stochastic total variation flow. Stochastics and Partial Differential Equations : Analysis and Computations , 9(2), p 437-471.
    PUB | PDF | DOI | WoS
     
  • [265]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945459
    Barbu, V., & Röckner, M., 2020. From nonlinear Fokker–Planck equations to solutions of distribution dependent SDE. Annals of Probability, 48(4), p 1902-1920.
    PUB | DOI | WoS
     
  • [264]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2948625
    Beznea, L., Cimpean, I., & Röckner, M., 2020. A natural extension of Markov processes and applications to singular SDEs. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 56(4), p 2480-2506.
    PUB | DOI | WoS
     
  • [263]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2946115
    Barbu, V., & 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., & Zhang, D., 2020. Optimal Control of Nonlinear Stochastic Differential Equations on Hilbert Spaces. SIAM Journal on Control and Optimization, 58(4), p 2383-2410.
    PUB | DOI | WoS
     
  • [261]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2945609
    Gordina, M., Röckner, M., & 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., & 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., et al., 2020. STOCHASTIC HEAT EQUATIONS WITH VALUES IN A MANIFOLD VIA DIRICHLET FORMS. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 52(3), p 2237-2274.
    PUB | DOI | WoS
     
  • [258]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2943809
    Da Prato, G., Flandoli, F., & 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., & 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., et al., 2020. Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients. JOURNAL OF DIFFERENTIAL EQUATIONS, 268(6), p 2910-2948.
    PUB | DOI | WoS
     
  • [255]
    2019 | Diskussionspapier | Veröffentlicht | PUB-ID: 2936013 OA
    Nendel, M., & 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, no.618, Bielefeld: Center for Mathematical Economics.
    PUB | PDF
     
  • [254]
    2019 | Diskussionspapier | Veröffentlicht | PUB-ID: 2935374 OA
    Federico, S., et al., 2019. On a Class of Infinite-Dimensional Singular Stochastic Control Problems, Center for Mathematical Economics Working Papers, no.614, Bielefeld: Center for Mathematical Economics.
    PUB | PDF
     
  • [253]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936605
    Röckner, M., Zhu, R., & 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(8), p 4021-4030.
    PUB | DOI | WoS
     
  • [252]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934374
    Huang, X., Röckner, M., & 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(6), p 3017-3035.
    PUB | DOI | WoS
     
  • [251]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935865
    Bogachev, V.I., Röckner, M., & Shaposhnikov, S.V., 2019. Convergence in variation of solutions of nonlinear Fokker-Planck-Kolmogorov equations to stationary measures. Journal of Functional Analysis, 276(12), p 3681-3713.
    PUB | DOI | WoS
     
  • [250]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937112
    Da Prato, G., Flandoli, F., & Röckner, M., 2019. Absolutely continuous solutions for continuity equations in Hilbert spaces. Journal de Mathématiques Pures et Appliquées, 128, p 42-86.
    PUB | DOI | WoS
     
  • [249]
    2019 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2939170
    Munteanu, I., & 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., & Shaposhnikov, S.V., 2019. On the Superposition Principle for Fokker-Planck-Kolmogorov Equations. DOKLADY MATHEMATICS, 100(1), p 363-366.
    PUB | DOI | WoS
     
  • [247]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937858
    Da Prato, G., Jentzen, A., & Röckner, M., 2019. A MILD ITO FORMULA FOR SPDES. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 372(6), p 3755-3807.
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    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936025
    Beznea, L., Cimpean, I., & 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(2), p 977-1000.
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    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934350
    Herr, S., Röckner, M., & Zhang, D., 2019. Scattering for stochastic nonlinear Schrödinger equations. Communications in Mathematical Physics, 368(2), p 843–884.
    PUB | DOI | Download (ext.) | WoS | arXiv
     
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    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2921248
    Liu, W., Röckner, M., & da Silva, J.L., 2018. Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives. SIAM Journal on Mathematical Analysis, 50(3), p 2588-2607.
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    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931232
    Barbu, V., & Röckner, M., 2018. Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise. Journal of Differential Equations, 265(10), p 4993-5030.
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    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930270
    Barbu, V., Röckner, M., & Zhang, D., 2018. Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. The Annals of Probability, 46(4), p 1957-1999.
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    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920290
    Röckner, M., et al., 2018. Stochastic heat equations with values in a Riemannian manifold. Rendiconti Lincei - Matematica e Applicazioni, 29(1), p 205-213.
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    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931261
    Barbu, V., & Röckner, M., 2018. Probabilistic Representation for Solutions to Nonlinear Fokker--Planck Equations . SIAM Journal on Mathematical Analysis, 50(4), p 4246-4260.
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    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919313
    Munteanu, I., & Röckner, M., 2018. Total variation flow perturbed by gradient linear multiplicative noise. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 21(1): 1850003 .
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    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919046
    Beznea, L., Cimpean, I., & Röckner, M., 2018. Irreducible recurrence, ergodicity, and extremality of invariant measures for resolvents. Stochastic Processes and their Applications, 128(4), p 1405-1437.
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    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920683
    Röckner, M., Wu, W., & Xie, Y., 2018. Stochastic porous media equation on general measure spaces with increasing Lipschitz nonlinearities. Stochastic Processes and their Applications, 128(6), p 2131-2151.
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    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931102
    Barbu, V., & Röckner, M., 2018. Variational solutions to nonlinear stochastic differential equations in Hilbert spaces. Stochastics and Partial Differential Equations: Analysis and Computations, 6(3), p 500-524.
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    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2919064
    Grigoryan, A., Ouyang, S., & Röckner, M., 2018. Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 736(736), p 1-31.
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    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932801
    Bogachev, V.I., Röckner, M., & Shaposhnikov, S.V., 2018. Convergence to Stationary Measures in Nonlinear Fokker-Planck-Kolmogorov Equations. DOKLADY MATHEMATICS, 98(2), p 452-457.
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    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917179
    Röckner, M., & Wang, F.-Y., 2017. Closability of quadratic forms associated to invariant probability measures of SPDEs. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 20(4): 15.
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    2017 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2931386
    Albeverio, S., Röckner, M., & Yoshida, M.W., 2017. Quantum Fields. In T. Hida & L. Streit, eds. Let Us Use White Noise. New Jersey, London: World Scientific, pp. 37-65.
    PUB | DOI | Inspire
     
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    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916350
    Barbu, V., Röckner, M., & Russo, F., 2017. Doubly probabilistic representation for the stochastic porous media type equation. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 53(4), p 2043-2073.
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    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914407
    Barbu, V., & Röckner, M., 2017. Global solutions to random 3D vorticity equations for small initial data. Journal of Differential Equations, 263(9), p 5395-5411.
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    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2909443
    Barbu, V., Röckner, M., & Zhang, D., 2017. The stochastic logarithmic Schrodinger equation. Journal de Mathématiques Pures et Appliquées, 107(2), p 123-149.
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    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914999
    Barbu, V., Röckner, M., & Zhang, D., 2017. Stochastic nonlinear Schrödinger equations: No blow-up in the non-conservative case. Journal of Differential Equations, 263(11), p 7919-7940.
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    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916113
    Barbu, V., & 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(4), p 457-471.
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    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914679
    Röckner, M., & Russo, F., 2017. Uniqueness for a class of stochastic Fokker-Planck and porous media equations. Journal of Evolution Equations, 17(3), p 1049-1062.
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    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911757
    Röckner, M., Zhu, R., & Zhu, X., 2017. Ergodicity for the Stochastic Quantization Problems on the 2D-Torus. Communications in Mathematical Physics, 353(3), p 1061-1090.
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    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2911002
    Röckner, M., Zhu, R., & Zhu, X., 2017. Restricted Markov uniqueness for the stochastic quantization of P(Phi)(2) and its applications. Journal of Functional Analysis, 272(10), p 4263-4303.
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    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2910486
    Gess, B., & Röckner, M., 2017. STOCHASTIC VARIATIONAL INEQUALITIES AND REGULARITY FOR DEGENERATE STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 369(5), p 3017-3045.
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    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907737
    Röckner, M., Shin, J., & 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(9), p 3219-3237.
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    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904084
    Da Prato, G., et al., 2016. Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. The Annals of Probability, 44(3), p 1985-2023.
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    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904065
    Barbu, V., & Röckner, M., 2016. Backward uniqueness of stochastic parabolic like equations driven by Gaussian multiplicative noise. Stochastic Processes and their Applications, 126(7), p 2163-2179.
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    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911801
    Barbu, V., Da Prato, G., & Röckner, M., 2016. Transition Semigroup. In V. Barbu, G. Da Prato, & M. Röckner, eds. Stochastic porous media equations. Lecture Notes in Mathematics. no.2163 Cham: Springer Int Publishing AG, pp. 167-195.
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    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917171
    Marinelli, C., & Röckner, M., 2016. On the maximal inequalities of Burkholder, Davis and Gundy. Expositiones Mathematicae, 34(1), p 1-26.
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    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917135
    Barbu, V., Röckner, M., & Zhang, D., 2016. Stochastic nonlinear Schrödinger equations. Nonlinear Analysis: Theory, Methods & Applications, 136, p 168-194.
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    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2902117
    Ouyang, S.-X., & Röckner, M., 2016. Time inhomogeneous generalized Mehler semigroups and skew convolution equations. Forum Mathematicum, 28(2), p 339-376.
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    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901305
    Röckner, M., & Trutnau, G., 2016. About the infinite dimensional skew and obliquely reflected Ornstein-Uhlenbeck process. Infinite Dimensional Analysis Quantum Probability and Related Topics, 18(4): 1550031.
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    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911796
    Barbu, V., Da Prato, G., & Röckner, M., 2016. Equations with Lipschitz Nonlinearities. In V. Barbu, G. Da Prato, & M. Röckner, eds. Stochastic porous media equations. Lecture Notes in Mathematics. no.2163 Cham: Springer , pp. 19-47.
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    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905502
    Bogachev, V.I., Röckner, M., & Shaposhnikov, S.V., 2016. Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations. Journal of Functional Analysis, 271(5), p 1262-1300.
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    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917155
    Bogachev, V.I., Röckner, M., & Shaposhnikov, S.V., 2016. Estimates of distances between transition probabilities of diffusions. Doklady Mathematics, 93(2), p 135-139.
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    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911797
    Barbu, V., Da Prato, G., & Röckner, M., 2016. Equations with Maximal Monotone Nonlinearities. In V. Barbu, G. Da Prato, & M. Röckner, eds. Stochastic porous media equations. Lecture Notes in Mathematics. no.2163 Cham: Springer , pp. 49-93.
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    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911798
    Barbu, V., Da Prato, G., & Röckner, M., 2016. Variational Approach to Stochastic Porous Media Equations. In V. Barbu, G. Da Prato, & M. Röckner, eds. Stochastic porous media equations. Lecture Notes in Mathematics. no.2163 Cham: Springer Int Publishing AG, pp. 95-106.
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    2016 | Herausgeber*in Sammelwerk | Veröffentlicht | PUB-ID: 2911795
    V. Barbu, G. Da Prato, & M. Röckner, eds., 2016. Stochastic Porous Media Equations Preface, Lecture Notes in Mathematics, no.2163, Cham: Springer.
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    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911794
    Barbu, V., Da Prato, G., & Röckner, M., 2016. Stochastic Porous Media Equations Introduction. In V. Barbu, G. Da Prato, & M. Röckner, eds. Stochastic porous media equations. Lecture Notes in Mathematics. no.2163 Cham: Springer Int Publishing AG, pp. 1-18.
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    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911800
    Barbu, V., Da Prato, G., & Röckner, M., 2016. The Stochastic Porous Media Equations in ℝ<sup>d</sup>. In V. Barbu, G. Da Prato, & M. Röckner, eds. Stochastic porous media equations. Lecture Notes in Mathematics. no.2163 Cham: Springer Int Publishing AG, pp. 133-165.
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    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911799
    Barbu, V., Da Prato, G., & Röckner, M., 2016. L-1-Based Approach to Existence Theory for Stochastic Porous Media Equations. In V. Barbu, G. Da Prato, & M. Röckner, eds. Stochastic porous media equations. Lecture Notes in Mathematics. no.2163 Cham: Springer Int Publishing AG, pp. 107-131.
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2733472
    Barbu, V., Röckner, M., & Russo, F., 2015. Stochastic porous media equations in ℝ<sup>d</sup>. Journal de Mathématiques Pures et Appliquées, 103(4), p 1024-1052.
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2730756
    Jentzen, A., & Röckner, M., 2015. A Milstein Scheme for SPDEs. Foundations of Computational Mathematics, 15(2), p 313-362.
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2780571
    Barbu, V., & Röckner, M., 2015. An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise. Journal of the European Mathematical Society, 17(7), p 1789-1815.
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901228
    Bogachev, V.I., et al., 2015. An analytic approach to infinite-dimensional continuity and fokker-planck-kolmogorov equations. Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze, 14(3), p 983-1023.
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2786346
    Bogachev, V.I., et al., 2015. On the uniqueness of solutions to continuity equations. Journal of Differential Equations, 259(8), p 3854-3873.
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901026
    Da Prato, G., et al., 2015. Strong Uniqueness for Stochastic Evolution Equations with Unbounded Measurable Drift Term. Journal of Theoretical Probability, 28(4), p 1571-1600.
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2736501
    Beznea, L., & Röckner, M., 2015. On the Existence of the Dual Right Markov Process and Applications. Potential Analysis, 42(3), p 617-627.
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2772441
    Röckner, M., Zhu, R., & Zhu, X., 2015. Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions. Nonlinear Analysis Theory Methods & Applications, 125, p 358-397.
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2758461
    Röckner, M., Zhu, R., & Zhu, X., 2015. BV functions in a Gelfand triple for differentiable measure and its applications. Forum Mathematicum, 27(3), p 1657-1687.
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2759912
    Röckner, M., Zhu, R., & Zhu, X., 2015. Sub and supercritical stochastic quasi-geostrophic equation. The Annals of Probability, 43(3), p 1202-1273.
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901045
    Gess, B., & Röckner, M., 2015. Singular-degenerate Multivalued Stochastic Fast Diffusion Equations. Siam Journal on Mathematical Analysis, 47(5), p 4058-4090.
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2685876
    Barbu, V., Röckner, M., & Zhang, D., 2014. Stochastic Nonlinear Schrödinger Equations with Linear Multiplicative Noise: Rescaling Approach. Journal of Nonlinear Science, 24(3), p 383-409.
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2673605
    Kolesnikov, A.V., & Röckner, M., 2014. On continuity equations in infinite dimensions with non-Gaussian reference measure. Journal of Functional Analysis, 266(7), p 4490-4537.
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677412
    Albeverio, S., Röckner, M., & 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(1): 1450002.
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2699769
    Bogachev, V.I., Röckner, M., & Shaposhnikov, S.V., 2014. On existence of Lyapunov functions for a stationary Kolmogorov equation with a probability solution. Doklady Mathematics, 90(1), p 424-428.
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660829
    Bogachev, V.I., Röckner, M., & Shaposhnikov, S.V., 2014. On parabolic inequalities for generators of diffusions with jumps. Probability Theory and Related Fields, 158(1-2), p 465-476.
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2679627
    Röckner, M., Zhu, R., & Zhu, X., 2014. A note on stochastic semilinear equations and their associated Fokker-Planck equations. Journal of Mathematical Analysis and Applications, 415(1), p 83-109.
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    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677363
    Röckner, M., Zhu, R., & 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(5), p 1974-2002.
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2612709
    Barbu, V., & 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(3), p 797-834.
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625721
    Bogachev, V.I., Röckner, M., & Shaposhnikov, S.V., 2013. On uniqueness of solutions to the Cauchy problem for degenerate Fokker-Planck-Kolmogorov equations. Journal Of Evolution Equations, 13(3), p 577-593.
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548347
    Liu, W., & Röckner, M., 2013. Local and global well-posedness of SPDE with generalized coercivity conditions. Journal Of Differential Equations, 254(2), p 725-755.
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2584618
    Röckner, M., & Wang, F.-Y., 2013. General extinction results for stochastic partial differential equations and applications. Journal Of The London Mathematical Society, 87(2), p 545-560.
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635459
    Hinz, M., Röckner, M., & Teplyaev, A., 2013. Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces. Stochastic Processes And Their Applications, 123(12), p 4373-4406.
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2612720
    Liu, W., Röckner, M., & Zhu, X.-C., 2013. Large deviation principles for the stochastic quasi-geostrophic equations. Stochastic Processes And Their Applications, 123(8), p 3299-3327.
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2607125
    Barbu, V., & Röckner, M., 2013. The finite speed of propagation for solutions to nonlinear stochastic wave equations driven by multiplicative noise. Journal Of Differential Equations, 255(3), p 560-571.
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635507
    Röckner, M., Wang, F.-Y., & Zhang, T., 2013. Stochastic generalized porous media equations with reflection. Stochastic Processes And Their Applications, 123(11), p 3943-3962.
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2636018
    Da Prato, G., et al., 2013. Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift. The Annals Of Probability, 41(5), p 3306-3344.
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2584527
    Hagedorn, D., et al., 2013. Gibbs states over the cone of discrete measures. Journal Of Functional Analysis, 264(11), p 2550-2583.
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2560367
    Da Prato, G., & Röckner, M., 2012. Well posedness of Fokker-Planck equations for generators of time-inhomogeneous Markovian transition probabilities. Rendiconti Lincei - Matematica E Applicazioni, 23(4), p 361-376.
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2530570
    Bogachev, V.I., Röckner, M., & Shaposhnikov, S.V., 2012. On Positive and Probability Solutions to the Stationary Fokker-Planck-Kolmogorov Equation. Doklady Mathematics, 85(3), p 350-354.
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2489444
    Barbu, V., & Röckner, M., 2012. Localization of solutions to stochastic porous media equations: finite speed of propagation. Electronic Journal of Probability, 17: 10.
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2493091
    Barbu, V., Da Prato, G., & Röckner, M., 2012. Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise. Journal of Mathematical Analysis and Applications, 389(1), p 147-164.
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2474345
    Ouyang, S.-X., Röckner, M., & Wang, F.-Y., 2012. Harnack Inequalities and Applications for Ornstein-Uhlenbeck Semigroups with Jump. Potential Analysis, 36(2), p 301-315.
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454701
    Jentzen, A., & Röckner, M., 2012. Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise. Journal of Differential Equations, 252(1), p 114-136.
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2493118
    Barbu, V., & Röckner, M., 2012. Stochastic Porous Media Equations and Self-Organized Criticality: Convergence to the Critical State in all Dimensions. Communications in Mathematical Physics, 311(2), p 539-555.
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454705
    Röckner, M., & Zhang, T., 2012. Stochastic 3D tamed Navier-Stokes equations: Existence, uniqueness and small time large deviation principles. Journal of Differential Equations, 252(1), p 716-744.
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2501923
    Röckner, M., Zhu, R., & Zhu, X., 2012. STOCHASTIC QUASI-GEOSTROPHIC EQUATION. Infinite Dimensional Analysis Quantum Probability and Related Topics, 15(1): 1250001.
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2523756
    Röckner, M., Zhu, R., & 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(4), p 1759-1794.
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548494
    Kondratiev, Y., Pasurek, T., & Röckner, M., 2012. GIBBS MEASURES OF CONTINUOUS SYSTEMS: AN ANALYTIC APPROACH. Reviews In Mathematical Physics, 24(10): 1250026.
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    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394382
    Barbu, V., & Röckner, M., 2011. On a random scaled porous media equation. Journal of Differential Equations, 251(9), p 2494-2514.
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    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2454846
    Barbu, V., Röckner, M., & Russo, F., 2011. Probabilistic representation for solutions of an irregular porous media type equation: the degenerate case. Probability Theory and Related Fields, 151(1-2), p 1-43.
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    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394377
    Beznea, L., Cornea, A., & Röckner, M., 2011. Potential theory of infinite dimensional Levy processes. Journal of Functional Analysis, 261(10), p 2845-2876.
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    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394401
    Beznea, L., & Röckner, M., 2011. Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities. Complex Analysis and Operator Theory, 5(3), p 731-741.
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    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2093770
    Gordina, M., Röckner, M., & Wang, F.-Y., 2011. Dimension-Independent Harnack Inequalities for Subordinated Semigroups. Potential Analysis, 34(3), p 293-307.
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    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2440773
    Beznea, L., & 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(6-7), p 844-870.
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    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003388
    Beyn, W.-J., et al., 2011. The Global Random Attractor for a Class of Stochastic Porous Media Equations. Communications in Partial Differential Equations, 36(3), p 446-469.
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    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2307041
    Gess, B., Liu, W., & Röckner, M., 2011. Random attractors for a class of stochastic partial differential equations driven by general additive noise. Journal of Differential Equations, 251(4-5), p 1225-1253.
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    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929609
    Marinelli, C., & Röckner, M., 2010. On uniqueness of mild solutions for dissipative stochastic evolution equations. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 13(3), p 363-376.
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    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796284
    Röckner, M., & Zhang, X., 2010. Weak uniqueness of Fokker-Planck equations with degenerate and bounded coefficients. Comptes Rendus Mathematique, 348(7-8), p 435-438.
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    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1793861
    Liu, W., & Röckner, M., 2010. SPDE in Hilbert space with locally monotone coefficients. Journal of Functional Analysis, 259(11), p 2902-2922.
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    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1589498
    Marinelli, C., Prévôt, C., & Röckner, M., 2010. Regular dependence on initial data for stochastic evolution equations with multiplicative Poisson noise. Journal of Functional Analysis, 258(2), p 616-649.
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    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929203
    Marinelli, C., & Röckner, M., 2010. Well-posedness and asymptotic behavior for stochastic reaction-diffusion equations with multiplicative Poisson noise. Electronic Journal of Probability , 15, p 1528-1555.
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    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588937
    Röckner, M., Zhang, T., & Zhang, X., 2010. Large Deviations for Stochastic Tamed 3D Navier-Stokes Equations. Applied Mathematics and Optimization, 61(2), p 267-285.
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    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794324
    Bogachev, V., Da Prato, G., & Röckner, M., 2010. Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Journal of Evolution Equations, 10(3), p 487-509.
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    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796081
    Röckner, M., & 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(1), p 27-37.
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    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968087
    Röckner, M., Zhu, R., & 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(21-22), p 1175-1178.
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    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1590687
    Barbu, V., Da Prato, G., & Röckner, M., 2009. Stochastic Nonlinear Diffusion Equations with Singular Diffusivity . SIAM Journal on Mathematical Analysis, 41(3), p 1106-1120.
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    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796390
    Röckner, M., & Zhang, X., 2009. Tamed 3D Navier-Stokes Equation: Existence, Uniqueness and Regularity. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 12(4), p 525-549.
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    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633336
    Röckner, M., & Zhang, X., 2009. Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity. Probability Theory and Related Fields, 145(1-2), p 211-267.
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    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634128
    Goldys, B., Röckner, M., & Zhang, X., 2009. Martingale solutions and Markov selections for stochastic partial differential equations. Stochastic Processes and their Applications, 119(5), p 1725-1764.
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    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633319
    Bogachev, V.I., Röckner, M., & Shaposhnikov, S.V., 2009. Lower estimates of densities of solutions of elliptic equations for measures. Doklady Mathematics, 79(3), p 329-334.
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    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1591586
    Röckner, M., & 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(2), p 353-358.
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    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633933
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    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636211
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    Bogachev, V.I., Röckner, M., & Shaposhnikov, S.V., 2009. Positive Densities of Transition Probabilities of Diffusion Processes. Theory of Probability & Its Applications, 53(2), p 194-215.
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    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635920
    Barbu, V., Da Prato, G., & Röckner, M., 2009. Finite time extinction for solutions to fast diffusion stochastic porous media equations. Comptes Rendus Mathematique, 347(1-2), p 81-84.
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    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635704
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    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795496
    Bogachev, V.I., Krylov, N.V., & Röckner, M., 2009. Elliptic and parabolic equations for measures. Russian Mathematical Surveys , 64(6), p 973-1078.
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    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636506
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    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592104
    Barbu, V., Da Prato, G., & Röckner, M., 2008. Existence and uniqueness of nonnegative solutions to the stochastic porous media equation. Indiana University Mathematics Journal , 57(1), p 187-211.
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    Bogachev, V.I., Da Prato, G., & Röckner, M., 2008. Infinite dimensional Kolmogorov operators with time dependent drift coefficients. Doklady Mathematics, 77(2), p 276-280.
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    2008 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1587187
    Röckner, M., Schmuland, B., & Zhang, X., 2008. Yamada-Watanabe theorem for stochastic evolution equations in infinite dimensions. Condensed Matter Physics , 11(2), p 247-259.
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    Röckner, M., & Wang, F.-Y., 2008. Non-monotone stochastic generalized porous media equations. Journal of Differential Equations, 245(12), p 3898-3935.
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    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586510
    Bogachev, V.I., Da Prato, G., & Röckner, M., 2008. Parabolic equations for measures on infinite-dimensional spaces. Doklady Mathematics, 78(1), p 544-549.
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    Bogachev, V.I., Da Prato, G., & Röckner, M., 2008. On parabolic equations for measures. Communications in Partial Differential Equations, 33(3), p 397-418.
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    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592122
    Beznea, L., Boboc, N., & Röckner, M., 2008. Markov processes associated with L-P-resolvents, applications to quasi-regular Dirichlet forms and stochastic differential equations. Comptes Rendus Mathematique, 346(5-6), p 323-328.
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    Kondratiev, Y., Lytvynov, E., & Röckner, M., 2008. Non-equilibrium stochastic dynamics in continuum: The free case. CONDENSED MATTER PHYSICS, 11(4), p 701-721.
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794538
    Prévôt, C., & Röckner, M., 2007. Weak and Strong Solutions: the Yamada-Watanabe Theorem. In C. Prévôt & M. Röckner, eds. A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. no.1905 Berlin: Springer, pp. 121-132.
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    Prévôt, C., & Röckner, M., 2007. The Bochner Integral. In C. Prévôt & M. Röckner, eds. A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. no.1905 Berlin: Springer, pp. 105-108.
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    Prévôt, C., & Röckner, M., 2007. Stochastic Differential Equations in Finite Dimensions. In C. Prévôt & M. Röckner, eds. A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. no.1905 Berlin: Springer, pp. 43-54.
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794532
    Prévôt, C., & Röckner, M., 2007. Pseudo Inverse of Linear Operators. In C. Prévôt & M. Röckner, eds. A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. no.1905 Berlin: Springer, pp. 115-117.
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    Prévôt, C., & Röckner, M., 2007. Nuclear and Hilbert-Schmidt Operators. In C. Prévôt & M. Röckner, eds. A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. no.1905 Berlin: Springer, pp. 109-113.
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    Prévôt, C., & Röckner, M., 2007. Some Tools from Real Martingale Theory. In C. Prévôt & M. Röckner, eds. A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. no.1905 Berlin: Springer, pp. 119-119.
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    Prévôt, C., & Röckner, M., 2007. Strong, Mild and Weak Solutions. In C. Prévôt & M. Röckner, eds. A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. no.1905 Berlin: Springer, pp. 133-136.
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    Prévôt, C., & Röckner, M., 2007. Motivation, Aims and Examples. In C. Prévôt & M. Röckner, eds. A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. no.1905 Berling: Springer, pp. 1-4.
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    Prévôt, C., & Röckner, M., 2007. A Class of Stochastic Differential Equations. In C. Prévôt & M. Röckner, eds. A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. no.1905 Berlin ; Heidelberg: Springer, pp. 55-103.
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    Prévôt, C., & Röckner, M., 2007. The Stochastic Integral in General Hilbert Spaces (w.r.t. Brownian Motion). In C. Prévôt & M. Röckner, eds. A Concise Course on Stochastic Partial Differential Equations. Lecture Notes in Mathematics. no.1905 Berlin ; Heidelberg: Springer, pp. 5-42.
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    Bogachev, V.I., et al., 2006. Gradient bounds for solutions of elliptic and parabolic equations. In G. Da Prato & L. Tubaro, eds. Stochastic Differential Equations and Applications - VII. Lecture notes in pure and applied mathematics. no.245 Boca Raton: Chapman & Hall/CRC, pp. 27-34.
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    Ren, J., & 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, pp. 177-186.
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    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638061
    Lyons, T.J., Röckner, M., & Zhang, T.S., 1996. Martingale decomposition of Dirichlet processes on the Banach space C-0[0,1]. Stochastic Processes and their Applications, 64(1), p 31-38.
    PUB | DOI | WoS
     
  • [15]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1639025
    Bogachev, V.I., Krylov, N., & Röckner, M., 1996. Regularity of invariant measures: The case of non-constant diffusion part. Journal of Functional Analysis, 138(1), p 223-242.
    PUB | DOI | WoS
     
  • [14]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628627
    Albeverio, S., Kondratiev, Y., & Röckner, M., 1996. Differential geometry of Poisson spaces. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 323(10), p 1129-1134.
    PUB | WoS
     
  • [13]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628378
    Albeverio, S., Kondratiev, Y., & Röckner, M., 1996. Canonical Dirichlet operator and distorted Brownian motion on Poisson spaces. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 323(11), p 1179-1184.
    PUB | WoS
     
  • [12]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640065
    Bogachev, V.I., & Röckner, M., 1995. Regularity of Invariant Measures on Finite and Infinite Dimensional Spaces and Applications. Journal of Functional Analysis, 133(1), p 168-223.
    PUB | DOI | WoS
     
  • [11]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640337
    Ma, Z.-M., & Röckner, M., 1995. Markov Processes Associated With Positivity Preserving Coercive Forms. Canadian Journal of Mathematics = Journal Canadien de Mathématiques , 47(4), p 817-840.
    PUB | DOI | WoS
     
  • [10]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628636
    Bogachev, V.I., & Röckner, M., 1995. Mehler formula and capacities for inifinite dimensional Ornstein-Uhlenbeck processes with General linear drift. Osaka Journal of Mathematics , 32(2), p 237-274.
    PUB | WoS
     
  • [9]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640061
    Albeverio, S., Kondratiev, Y., & Röckner, M., 1995. UNIQUENESS OF THE STOCHASTIC DYNAMICS FOR CONTINUOUS-SPIN SYSTEMS ON A LATTICE. JOURNAL OF FUNCTIONAL ANALYSIS, 133(1), p 10-20.
    PUB | DOI | WoS
     
  • [8]
    1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641759
    Chen, Z.-Q., Ma, Z.-M., & Röckner, M., 1994. Quasi-homeomorphisms of Dirichlet forms. Nagoya Mathematical Journal , 136, p 1-15.
    PUB | DOI | WoS
     
  • [7]
    1992 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1648082
    Albeverio, S., et al., 1992. An invariance result for capacities on Wiener space. Journal of Functional Analysis, 106(1), p 35-49.
    PUB | DOI | WoS
     
  • [6]
    1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649910
    Albeverio, S., et al., 1991. CAPACITIES ON WIENER SPACE - TIGHTNESS AND INVARIANCE. Comptes Rendus de l'Academie des Sciences. Series I, Mathematics , 312(12), p 931-935.
    PUB | WoS
     
  • [5]
    1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651063
    Potthoff, J., & Röckner, M., 1990. On the contraction property of energy forms on infinite-dimensional space. Journal of Functional Analysis, 92(1), p 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(1), p 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(324), p 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(3), p 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(2), p 153-177.
    PUB | DOI | WoS
     
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