Michael Röckner

PEVZ-ID
10585

322 Publikationen

Alle markieren

  • [322]
    2024 | Preprint | Eingereicht | PUB-ID: 2993301
    Herr, S., Röckner, M., Spitz, M. & Zhang, D. (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. Springer . doi:10.1007/s00028-024-01023-z.
    PUB | DOI | WoS
     
  • [320]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993907
    Barbu, V. & Röckner, M. (2024). Markov Processes Associated with Nonlinear Fokker-Planck Equations (Lecture Notes in Mathematics). In J.-M. Morel, K. Tong & B. Teissier (Hrsg.), Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts (S. 189-195). Cham: Springer . doi:10.1007/978-3-031-61734-8_5.
    PUB | DOI | WoS
     
  • [319]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993906
    Barbu, V. & Röckner, M. (2024). Time Dependent Fokker-Planck Equations (Lecture Notes in Mathematics). In J.-M. Morel, K. Tong & B. Teissier (Hrsg.), Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts (S. 123-145). Cham: Springer . doi:10.1007/978-3-031-61734-8_3.
    PUB | DOI | WoS
     
  • [318]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993905
    Barbu, V. & Röckner, M. (2024). Appendix (Lecture Notes in Mathematics). In J.-M. Morel, K. Tong & B. Teissier (Hrsg.), Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts (S. 197-203). Cham: Springer . doi:10.1007/978-3-031-61734-8_6.
    PUB | DOI | WoS
     
  • [317]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993902
    Barbu, V. & Röckner, M. (2024). Convergence to Equilibrium of Nonlinear Fokker-Planck Flows (Lecture Notes in Mathematics). In J.-M. Morel, K. Tong & B. Teissier (Hrsg.), Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts (S. 147-188). Cham: Springer . doi:10.1007/978-3-031-61734-8_4.
    PUB | DOI | WoS
     
  • [316]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993899
    Barbu, V. & Röckner, M. (2024). Existence of Nonlinear Fokker-Planck Flows (Lecture Notes in Mathematics). In J.-M. Morel, K. Tong & B. Teissier (Hrsg.), Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts (S. 13-122). Cham: Springer . doi:10.1007/978-3-031-61734-8_2.
    PUB | DOI | WoS
     
  • [315]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993901
    Barbu, V. & Röckner, M. (2024). Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Introduction (Lecture Notes in Mathematics). In J.-M. Morel, K. Tong & B. Teissier (Hrsg.), Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts (S. 1-11). Cham: Springer . doi:10.1007/978-3-031-61734-8_1.
    PUB | DOI | WoS
     
  • [314]
    2024 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2993900
    Barbu, V. & Röckner, M. (2024). Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts. Preface (Lecture Notes in Mathematics). In J.-M. Morel, K. Tong & B. Teissier (Hrsg.), Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts (S. v-vi). Cham: Springer . doi:10.1007/978-3-031-61734-8.
    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 . Taylor & Francis . doi:10.1080/07362994.2024.2389133.
    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, 23-86. Academic Press Inc Elsevier Science. doi:10.1016/j.jde.2024.08.024.
    PUB | PDF | DOI | WoS
     
  • [311]
    2024 | Diskussionspapier | Veröffentlicht | PUB-ID: 2990509 OA
    Federico, S., Ferrari, G., Riedel, F. & Röckner, M. (2024). Variational Inequalities and Smooth-Fit Principle for Singular Stochastic Control Problems in Hilbert Spaces (Center for Mathematical Economics Working Papers). 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. Springer. doi:10.1007/s11118-024-10145-5.
    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), 1586-1610. International Statistical Institute. doi:10.3150/23-BEJ1646.
    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. Springer. doi:10.1007/s00440-024-01277-1.
    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 . Springer. doi:10.1007/s00208-024-02836-6.
    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), 2661-2713. Society for Industrial and Applied Mathematics . doi:10.1137/23M1556666.
    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. Springer. doi:10.1007/s11118-024-10127-7.
    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, 64. Springer . doi:10.1007/s00440-023-01201-z.
    PUB | PDF | DOI | WoS
     
  • [303]
    2023 | Preprint | Angenommen | PUB-ID: 2967998
    Herr, S., Röckner, M., Spitz, M. & 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. & Shaposhnikov, S.V. (2023). Kolmogorov Problems on Equations for Stationary and Transition Probabilities of Diffusion Processes. Theory of Probability and its Applications, 68(3), 342-369. Society for Industrial and Applied Mathematics . doi:10.1137/S0040585X97T991507.
    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 . Springer. doi:10.1007/s11118-023-10114-4.
    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. American Mathematical Society . doi:10.1090/tran/9025.
    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. Elsevier. doi:10.1016/j.jfa.2023.110103.
    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), 89-131. Indiana University. doi:10.1512/iumj.2023.72.9074.
    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), 1-18. Society for Industrial and Applied Mathematics. doi:10.1137/21M145481X.
    PUB | DOI | WoS
     
  • [296]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982418
    Albeverio, S., Kawabi, H., Ihalache, S.-R. & 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(1), 33-69. Scuola Normale Superiore.
    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 . Springer . doi:10.1007/s10013-023-00640-4.
    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, 58-104. Elsevier . doi:10.1016/j.jde.2023.05.031.
    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 . Springer. doi:10.1007/s40072-023-00300-1.
    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. Elsevier Science. doi:10.1016/j.jfa.2023.109980.
    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, 1-59. Institute of Mathematical Statistics (IMS). doi:10.1214/23-EJP952.
    PUB | DOI | WoS
     
  • [290]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2978304
    Liu, W., Röckner, M., Sun, X. & Xie, Y. (2023). Strong Averaging Principle for Slow-Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients. Applied Mathematics and Optimization , 87(3): 39. Springer. doi:10.1007/s00245-022-09956-y.
    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), 757-784. International Statistical Institute. doi:10.3150/22-BEJ1478.
    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), 318-321. Springer. doi:10.1134/S1064562422050064.
    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 . Taylor & Francis . doi:10.1080/03605302.2022.2139724.
    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 . Springer. doi:10.1007/s40072-022-00267-5.
    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, 1-37. Elsevier. doi:10.1016/j.jde.2022.03.021.
    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). 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 . Springer. doi:10.1007/s40072-022-00248-8.
    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, 200-221. Elsevier. doi:10.1016/j.jde.2022.01.043.
    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), 4400-4428. Society for Industrial and Applied Mathematics . doi:10.1137/20M1314823.
    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 . Springer. doi:10.1007/s40072-021-00223-9.
    PUB | DOI | WoS
     
  • [279]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955128
    Federico, S., Ferrari, G., Riedel, F. & Röckner, M. (2021). On a Class of Infinite-Dimensional Singular Stochastic Control Problems . SIAM Journal on Control and Optimization, 59(2), 1680-1704. Siam Publications. doi:10.1137/20M136757X.
    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. Academic Press Inc Elsevier Science. doi:10.1016/j.jfa.2021.109135.
    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. World Scientific . doi:10.1142/S0219025721500119.
    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), 1336-1375. Institute of Mathematical Statistics (IMS). doi:10.1214/20-AAP1620.
    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), 1205-1236. Institute of Mathematical Statistics (IMS). doi:10.1214/20-AOP1475.
    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, 1-53. Institute of Mathematical Statistics (IMS). doi:10.1214/21-EJP631.
    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), 1889–1937. Springer. doi:10.1007/s00220-021-04069-z.
    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, 39-82. Academic Press . doi:10.1016/j.jde.2021.02.046.
    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), 1131-1158. International Statistical Institute (ISI). doi:10.3150/20-BEJ1268.
    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), 547-576. Institute of Mathematical Statistics. doi:10.1214/20-AIHP1087.
    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. Elsevier. doi:10.1016/j.jfa.2021.108926.
    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 . Wiley. doi:10.1112/jlms.12436.
    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, 996-1014. Elsevier. doi:10.1016/j.jde.2020.11.018.
    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), 437-471. Springer. doi:10.1007/s40072-020-00169-4.
    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), 1902-1920. Institute of Mathematical Statistics. doi:10.1214/19-AOP1410.
    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), 2480-2506. Inst Mathematical Statistics. doi:10.1214/20-AIHP1047.
    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 . Springer. doi:10.1007/s40072-020-00181-8.
    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), 2383-2410. Siam Publications. doi:10.1137/19M1307615.
    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. Springer. doi:10.1007/s00440-020-00991-w.
    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. Springer Heidelberg. doi:10.1007/s00440-020-00985-8.
    PUB | DOI | WoS
     
  • [259]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945134
    Röckner, M., Wu, B., Zhu, R. & Zhu, X. (2020). STOCHASTIC HEAT EQUATIONS WITH VALUES IN A MANIFOLD VIA DIRICHLET FORMS. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 52(3), 2237-2274. Siam Publications. doi:10.1137/18M1211076.
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    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. Springer. doi:10.1007/s40072-020-00173-8.
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    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. Springer. doi:10.1007/s10884-020-09828-5.
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    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2940088
    Liu, W., Röckner, M., Sun, X. & Xie, Y. (2020). Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients. JOURNAL OF DIFFERENTIAL EQUATIONS, 268(6), 2910-2948. Academic Press Inc Elsevier Science. doi:10.1016/j.jde.2019.09.047.
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    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). Bielefeld: Center for Mathematical Economics.
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    2019 | Diskussionspapier | Veröffentlicht | PUB-ID: 2935374 OA
    Federico, S., Ferrari, G., Riedel, F. & Röckner, M. (2019). On a Class of Infinite-Dimensional Singular Stochastic Control Problems (Center for Mathematical Economics Working Papers). Bielefeld: Center for Mathematical Economics.
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    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), 4021-4030. Amer Inst Mathematical Sciences-aims. doi:10.3934/dcdsb.2019048.
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    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), 3017-3035. Amer Inst Mathematical Sciences-aims. doi:10.3934/dcds.2019125.
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    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), 3681-3713. Academic Press Inc Elsevier Science. doi:10.1016/j.jfa.2019.03.014.
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    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, 42-86. Elsevier. doi:10.1016/j.matpur.2019.06.010.
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    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. Springer Basel Ag. doi:10.1007/s00028-019-00551-3.
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    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), 363-366. Maik Nauka/interperiodica/springer. doi:10.1134/S1064562419040136.
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    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), 3755-3807. Amer Mathematical Soc. doi:10.1090/tran/7165.
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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), 977-1000. Inst Mathematical Statistics. doi:10.1214/18-AIHP905.
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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), 843–884. Springer. doi:10.1007/s00220-019-03429-0.
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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), 2588-2607. Siam Publications. doi:10.1137/17M1144593.
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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), 4993-5030. Elsevier. doi:10.1016/j.jde.2018.06.026.
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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), 1957-1999. Inst Mathematical Statistics. doi:10.1214/17-AOP1217.
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    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920290
    Röckner, M., Wu, B., Zhu, R. & Zhu, X. (2018). Stochastic heat equations with values in a Riemannian manifold. Rendiconti Lincei - Matematica e Applicazioni, 29(1), 205-213. European Mathematical Soc. doi:10.4171/RLM/801.
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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), 4246-4260. SIAM Publications. doi:10.1137/17M1162780.
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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 . World Scientific . doi:10.1142/S0219025718500030.
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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), 1405-1437. Elsevier Science Bv. doi:10.1016/j.spa.2017.07.009.
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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), 2131-2151. Elsevier Science Bv. doi:10.1016/j.spa.2017.09.001.
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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), 500-524. Springer. doi:10.1007/s40072-018-0114-0.
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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), 1-31. Walter De Gruyter Gmbh. doi:10.1515/crelle-2015-0026.
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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), 452-457. Maik Nauka/interperiodica ; Springer. doi:10.1134/S1064562418060169.
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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. World Scientific . doi:10.1142/S0219025717500230.
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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 (Hrsg.), Let Us Use White Noise (S. 37-65). New Jersey, London: World Scientific. doi:10.1142/9789813220942_0002.
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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), 2043-2073. Institute of Mathematical Statistics (IMS). doi:10.1214/16-AIHP783.
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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), 5395-5411. Elsevier. doi:10.1016/j.jde.2017.06.020.
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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), 123-149. Elsevier . doi:10.1016/j.matpur.2016.06.001.
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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), 7919-7940. Elsevier. doi:10.1016/j.jde.2017.08.030.
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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), 457-471. Springer. doi:10.1007/s40072-017-0094-5.
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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), 1049-1062. Springer Basel . doi:10.1007/s00028-016-0372-0.
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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), 1061-1090. Springer. doi:10.1007/s00220-017-2865-2.
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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), 4263-4303. Elsevier . doi:10.1016/j.jfa.2017.01.023.
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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), 3017-3045. Amer Mathematical Soc. doi:10.1090/tran/6981.
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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), 3219-3237. American Institute of Mathematical Sciences (AIMS) . doi:10.3934/dcdsb.2016095.
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    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904084
    Da Prato, G., Flandoli, F., Röckner, M. & Veretennikov, A.Y. (2016). Strong uniqueness for SDEs in Hilbert spaces with nonregular drift. The Annals of Probability, 44(3), 1985-2023. Institute of Mathematical Statistics (IMS). doi:10.1214/15-AOP1016.
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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), 2163-2179. Elsevier . doi:10.1016/j.spa.2016.01.007.
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    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911801
    Barbu, V., Da Prato, G. & Röckner, M. (2016). Transition Semigroup (Lecture Notes in Mathematics). In V. Barbu, G. Da Prato & M. Röckner (Hrsg.), Stochastic porous media equations (S. 167-195). Cham: Springer Int Publishing AG. doi:10.1007/978-3-319-41069-2_7.
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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), 1-26. Elsevier . doi:10.1016/j.exmath.2015.01.002.
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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, 168-194. Elsevier. doi:10.1016/j.na.2016.02.010.
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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), 339-376. Walter De Gruyter . doi:10.1515/forum-2013-0192.
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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. World Scientific . doi:10.1142/S0219025715500319.
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    Barbu, V., Da Prato, G. & Röckner, M. (2016). Equations with Lipschitz Nonlinearities (Lecture Notes in Mathematics). In V. Barbu, G. Da Prato & M. Röckner (Hrsg.), Stochastic porous media equations (S. 19-47). Cham: Springer . doi:10.1007/978-3-319-41069-2_2.
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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), 1262-1300. Academic Press. doi:10.1016/j.jfa.2016.05.016.
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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), 135-139. Springer. doi:10.1134/S1064562416020034.
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    Barbu, V., Da Prato, G. & Röckner, M. (2016). Equations with Maximal Monotone Nonlinearities (Lecture Notes in Mathematics). In V. Barbu, G. Da Prato & M. Röckner (Hrsg.), Stochastic porous media equations (S. 49-93). Cham: Springer . doi:10.1007/978-3-319-41069-2_3.
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    Barbu, V., Da Prato, G. & Röckner, M. (2016). Variational Approach to Stochastic Porous Media Equations (Lecture Notes in Mathematics). In V. Barbu, G. Da Prato & M. Röckner (Hrsg.), Stochastic porous media equations (S. 95-106). Cham: Springer Int Publishing AG. doi:10.1007/978-3-319-41069-2_4.
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    Stochastic Porous Media Equations Preface (Lecture Notes in Mathematics). (2016). Stochastic Porous Media Equations Preface (Lecture Notes in Mathematics). (V. Barbu, G. Da Prato & M. Röckner, Hrsg.). Cham: Springer. doi:10.1007/978-3-319-41069-2.
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    Barbu, V., Da Prato, G. & Röckner, M. (2016). Stochastic Porous Media Equations Introduction (Lecture Notes in Mathematics). In V. Barbu, G. Da Prato & M. Röckner (Hrsg.), Stochastic porous media equations (S. 1-18). Cham: Springer Int Publishing AG. doi:10.1007/978-3-319-41069-2_1.
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    Barbu, V., Da Prato, G. & Röckner, M. (2016). The Stochastic Porous Media Equations in ℝ<sup>d</sup> (Lecture Notes in Mathematics). In V. Barbu, G. Da Prato & M. Röckner (Hrsg.), Stochastic porous media equations (S. 133-165). Cham: Springer Int Publishing AG. doi:10.1007/978-3-319-41069-2_6.
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    Barbu, V., Da Prato, G. & Röckner, M. (2016). L-1-Based Approach to Existence Theory for Stochastic Porous Media Equations (Lecture Notes in Mathematics). In V. Barbu, G. Da Prato & M. Röckner (Hrsg.), Stochastic porous media equations (S. 107-131). Cham: Springer Int Publishing AG. doi:10.1007/978-3-319-41069-2_5.
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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), 1024-1052. Elsevier. doi:10.1016/j.matpur.2014.10.004.
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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), 313-362. Springer-Verlag. doi:10.1007/s10208-015-9247-y.
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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), 1789-1815. European Mathematical Society. doi:10.4171/JEMS/545.
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901228
    Bogachev, V.I., Da Prato, G., Röckner, M. & 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(3), 983-1023. Scuola Normale Superiore. doi:10.2422/2036-2145.201303_004.
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    Bogachev, V.I., Da Prato, G., Röckner, M. & Shaposhnikov, S.V. (2015). On the uniqueness of solutions to continuity equations. Journal of Differential Equations, 259(8), 3854-3873. Elsevier. doi:10.1016/j.jde.2015.05.003.
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901026
    Da Prato, G., Flandoli, F., Priola, E. & Röckner, M. (2015). Strong Uniqueness for Stochastic Evolution Equations with Unbounded Measurable Drift Term. Journal of Theoretical Probability, 28(4), 1571-1600. Springer/Plenum Publishers. doi:10.1007/s10959-014-0545-0.
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    Beznea, L. & Röckner, M. (2015). On the Existence of the Dual Right Markov Process and Applications. Potential Analysis, 42(3), 617-627. Springer-Verlag. doi:10.1007/s11118-014-9447-0.
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    Röckner, M., Zhu, R. & Zhu, X. (2015). BV functions in a Gelfand triple for differentiable measure and its applications. Forum Mathematicum, 27(3), 1657-1687. Walter De Gruyter . doi:10.1515/forum-2012-0137.
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    Gess, B. & Röckner, M. (2015). Singular-degenerate Multivalued Stochastic Fast Diffusion Equations. Siam Journal on Mathematical Analysis, 47(5), 4058-4090. Siam Publications. doi:10.1137/151003726.
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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), 383-409. Springer-Verlag. doi:10.1007/s00332-014-9193-x.
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    Kolesnikov, A.V. & Röckner, M. (2014). On continuity equations in infinite dimensions with non-Gaussian reference measure. Journal of Functional Analysis, 266(7), 4490-4537. Elsevier. doi:10.1016/j.jfa.2014.01.010.
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    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. World Scientific. doi:10.1142/S0219025714500027.
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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), 424-428. Pleiades Publishing. doi:10.1134/S1064562414050020.
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    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), 465-476. Springer-Verlag. doi:10.1007/s00440-013-0485-0.
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    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), 1974-2002. Elsevier. doi:10.1016/j.spa.2014.01.010.
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    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), 797-834. Springer-Verlag. doi:10.1007/s00205-013-0632-x.
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    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), 577-593. Springer-Verlag. doi:10.1007/s00028-013-0191-5.
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    Röckner, M. & Wang, F.-Y. (2013). General extinction results for stochastic partial differential equations and applications. Journal Of The London Mathematical Society, 87(2), 545-560. Oxford University Press - London Mathematical Society. doi:10.1112/jlms/jds066.
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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), 4373-4406. Elsevier. doi:10.1016/j.spa.2013.06.009.
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2612720
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    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), 560-571. Elsevier. doi:10.1016/j.jde.2013.04.022.
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    Röckner, M., Wang, F.-Y. & Zhang, T. (2013). Stochastic generalized porous media equations with reflection. Stochastic Processes And Their Applications, 123(11), 3943-3962. Elsevier. doi:10.1016/j.spa.2013.06.003.
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    Da Prato, G., Flandoli, F., Priola, E. & Röckner, M. (2013). Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift. The Annals Of Probability, 41(5), 3306-3344. Institute Of Mathematical Statistics. doi:10.1214/12-AOP763.
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    Hagedorn, D., Kondratiev, Y., Pasurek, T. & Röckner, M. (2013). Gibbs states over the cone of discrete measures. Journal Of Functional Analysis, 264(11), 2550-2583. Elsevier. doi:10.1016/j.jfa.2013.03.002.
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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), 361-376. European Mathematical Society Publishing House. doi:10.4171/RLM/633.
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    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), 350-354. Pleiades Publishing. doi:10.1134/S1064562412030143.
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    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), 147-164. Elsevier. doi:10.1016/j.jmaa.2011.11.045.
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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), 301-315. Springer-Verlag. doi:10.1007/s11118-011-9231-3.
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    Jentzen, A. & Röckner, M. (2012). Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise. Journal of Differential Equations, 252(1), 114-136. Elsevier. doi:10.1016/j.jde.2011.08.050.
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    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), 539-555. Springer-Verlag. doi:10.1007/s00220-012-1429-8.
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    Röckner, M., Zhu, R. & Zhu, X. (2012). STOCHASTIC QUASI-GEOSTROPHIC EQUATION. Infinite Dimensional Analysis Quantum Probability and Related Topics, 15(1): 1250001. World Scientific. doi:10.1142/S0219025712500014.
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    Kondratiev, Y., Pasurek, T. & Röckner, M. (2012). GIBBS MEASURES OF CONTINUOUS SYSTEMS: AN ANALYTIC APPROACH. Reviews In Mathematical Physics, 24(10): 1250026. World Scientific. doi:10.1142/S0129055X12500262.
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    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), 1-43. Springer-Verlag. doi:10.1007/s00440-010-0291-x.
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    Beznea, L. & Röckner, M. (2011). Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities. Complex Analysis and Operator Theory, 5(3), 731-741. Springer-Verlag. doi:10.1007/s11785-010-0084-3.
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    Gordina, M., Röckner, M. & Wang, F.-Y. (2011). Dimension-Independent Harnack Inequalities for Subordinated Semigroups. Potential Analysis, 34(3), 293-307. Springer-Verlag. doi:10.1007/s11118-010-9198-5.
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    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), 844-870. Elsevier. doi:10.1016/j.bulsci.2011.07.002.
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    Beyn, W.-J., Gess, B., Lescot, P. & Röckner, M. (2011). The Global Random Attractor for a Class of Stochastic Porous Media Equations. Communications in Partial Differential Equations, 36(3), 446-469. Informa UK (Taylor & Francis). doi:10.1080/03605302.2010.523919.
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    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), 363-376. World Scientific. doi:10.1142/S0219025710004152.
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    Röckner, M. & Zhang, X. (2010). Weak uniqueness of Fokker-Planck equations with degenerate and bounded coefficients. Comptes Rendus Mathematique, 348(7-8), 435-438. Elsevier. doi:10.1016/j.crma.2010.01.001.
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    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), 616-649. Academic Press. doi:10.1016/j.jfa.2009.04.015.
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    Marinelli, C. & Röckner, M. (2010). Well-posedness and asymptotic behavior for stochastic reaction-diffusion equations with multiplicative Poisson noise. Electronic Journal of Probability , 15, 1528-1555. Univ. of Washington, Mathematics Dep. .
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    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), 1175-1178. Elsevier. doi:10.1016/j.crma.2010.10.018.
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    Goldys, B., Röckner, M. & Zhang, X. (2009). Martingale solutions and Markov selections for stochastic partial differential equations. Stochastic Processes and their Applications, 119(5), 1725-1764. Elsevier. doi:10.1016/j.spa.2008.08.009.
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    Barbu, V., Da Prato, G. & Röckner, M. (2009). Stochastic Porous Media Equations and Self-Organized Criticality. Communications in Mathematical Physics, 285(3), 901-923. Springer. doi:10.1007/s00220-008-0651-x.
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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), 194-215. SIAM Publications. doi:10.1137/S0040585X97983523.
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    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), 81-84. Elsevier. doi:10.1016/j.crma.2008.11.018.
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    Bogachev, V.I., Da Prato, G. & 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(4), 1269-1298. Academic Press. doi:10.1016/j.jfa.2008.05.005.
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    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), 187-211. Indiana University . doi:10.1512/iumj.2008.57.3241.
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    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636734
    Röckner, M. & Wang, F.-Y. (2008). Non-monotone stochastic generalized porous media equations. Journal of Differential Equations, 245(12), 3898-3935. Academic Press. doi:10.1016/j.jde.2008.03.003.
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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), 544-549. Springer. doi:10.1134/S1064562408040200.
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    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592500
    Bogachev, V.I., Da Prato, G. & Röckner, M. (2008). On parabolic equations for measures. Communications in Partial Differential Equations, 33(3), 397-418. Taylor & Francis. doi:10.1080/03605300701382415.
    PUB | DOI | WoS
     
  • [129]
    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), 323-328. Elsevier. doi:10.1016/j.crma.2007.12.005.
    PUB | DOI | WoS
     
  • [128]
    2008 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1636273
    Kondratiev, Y., Lytvynov, E. & Röckner, M. (2008). Non-equilibrium stochastic dynamics in continuum: The free case (CONDENSED MATTER PHYSICS), 11(4), 701-721. INST CONDENSED MATTER PHYSICS NATL ACAD SCIENCES UKRAINE.
    PUB | WoS
     
  • [127]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794538
    Prévôt, C. & Röckner, M. (2007). Weak and Strong Solutions: the Yamada-Watanabe Theorem (Lecture Notes in Mathematics). In C. Prévôt & M. Röckner (Hrsg.), A Concise Course on Stochastic Partial Differential Equations (S. 121-132). Berlin: Springer.
    PUB | WoS
     
  • [126]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794526
    Prévôt, C. & Röckner, M. (2007). The Bochner Integral (Lecture Notes in Mathematics). In C. Prévôt & M. Röckner (Hrsg.), A Concise Course on Stochastic Partial Differential Equations (S. 105-108). Berlin: Springer.
    PUB | WoS
     
  • [125]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794520
    Prévôt, C. & Röckner, M. (2007). Stochastic Differential Equations in Finite Dimensions (Lecture Notes in Mathematics). In C. Prévôt & M. Röckner (Hrsg.), A Concise Course on Stochastic Partial Differential Equations (S. 43-54). Berlin: Springer. doi:10.1007/978-3-540-70781-3_3.
    PUB | DOI | WoS
     
  • [124]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794532
    Prévôt, C. & Röckner, M. (2007). Pseudo Inverse of Linear Operators (Lecture Notes in Mathematics). In C. Prévôt & M. Röckner (Hrsg.), A Concise Course on Stochastic Partial Differential Equations (S. 115-117). Berlin: Springer.
    PUB | WoS
     
  • [123]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594879
    Ren, J., Röckner, M. & Zhang, X. (2007). Kusuoka-stroock formula on configuration space and regularities of local times with jumps. Potential Analysis, 26(4), 363-396. Springer. doi:10.1007/s11118-007-9040-x.
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  • [122]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1595371
    Röckner, M. & Zhang, T. (2007). Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles. Potential Analysis, 26(3), 255-279. Springer. doi:10.1007/s11118-006-9035-z.
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  • [121]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592663
    Röckner, M. & Trutnau, G. (2007). A remark on the generator of a right-continuous Markov process. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 10(4), 633-640. World Scientific. doi:10.1142/S0219025707002907.
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  • [120]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794529
    Prévôt, C. & Röckner, M. (2007). Nuclear and Hilbert-Schmidt Operators (Lecture Notes in Mathematics). In C. Prévôt & M. Röckner (Hrsg.), A Concise Course on Stochastic Partial Differential Equations (S. 109-113). Berlin: Springer.
    PUB | WoS
     
  • [119]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794535
    Prévôt, C. & Röckner, M. (2007). Some Tools from Real Martingale Theory (Lecture Notes in Mathematics). In C. Prévôt & M. Röckner (Hrsg.), A Concise Course on Stochastic Partial Differential Equations (S. 119-119). Berlin: Springer.
    PUB | WoS
     
  • [118]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794541
    Prévôt, C. & Röckner, M. (2007). Strong, Mild and Weak Solutions (Lecture Notes in Mathematics). In C. Prévôt & M. Röckner (Hrsg.), A Concise Course on Stochastic Partial Differential Equations (S. 133-136). Berlin: Springer.
    PUB | WoS
     
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794514
    Prévôt, C. & Röckner, M. (2007). Motivation, Aims and Examples (Lecture Notes in Mathematics). In C. Prévôt & M. Röckner (Hrsg.), A Concise Course on Stochastic Partial Differential Equations (S. 1-4). Berling: Springer. doi:10.1007/978-3-540-70781-3_1.
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  • [116]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794523
    Prévôt, C. & Röckner, M. (2007). A Class of Stochastic Differential Equations (Lecture Notes in Mathematics). In C. Prévôt & M. Röckner (Hrsg.), A Concise Course on Stochastic Partial Differential Equations (S. 55-103). Berlin ; Heidelberg: Springer. doi:10.1007/978-3-540-70781-3_4.
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  • [115]
    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794517
    Prévôt, C. & Röckner, M. (2007). The Stochastic Integral in General Hilbert Spaces (w.r.t. Brownian Motion) (Lecture Notes in Mathematics). In C. Prévôt & M. Röckner (Hrsg.), A Concise Course on Stochastic Partial Differential Equations (S. 5-42). Berlin ; Heidelberg: Springer. doi:10.1007/978-3-540-70781-3_2.
    PUB | DOI | WoS
     
  • [114]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1632672
    Bogachev, V.I., Da Prato, G., Röckner, M. & Stannat, W. (2007). Uniqueness of solutions to weak parabolic equations for measures. Bulletin of the London Mathematical Society , 39(4), 631-640. Oxford University Press. doi:10.1112/blms/bdm046.
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  • [113]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631495
    Kondratiev, Y., Lytvynov, E. & Röckner, M. (2007). Equilibrium Kawasaki dynamics of continuous particle systems. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 10(2), 185-209. WORLD SCIENTIFIC PUBL CO PTE LTD. doi:10.1142/S0219025707002695.
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    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596324
    Grothaus, M., Kondratiev, Y. & Röckner, M. (2007). N/V-limit for stochastic dynamics in continuous particle systems. PROBABILITY THEORY AND RELATED FIELDS, 137(1-2), 121-160. SPRINGER. doi:10.1007/s00440-006-0499-y.
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  • [111]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1874564
    Röckner, M. & 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(2), 663-727. Institute of Mathematical Statistics (IMS). doi:10.1214/009117905000000666.
    PUB | DOI | Download (ext.) | WoS
     
  • [110]
    2006 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1872394
    Bogachev, V.I., Da Prato, G., Röckner, M. & Sobol, Z. (2006). Gradient bounds for solutions of elliptic and parabolic equations (Lecture notes in pure and applied mathematics). In G. Da Prato & L. Tubaro (Hrsg.), Stochastic Differential Equations and Applications - VII (S. 27-34). Gehalten auf der 7. Meeting on "Stochastic Partial Differential Equations and Applications", Boca Raton: Chapman & Hall/CRC.
    PUB | Download (ext.)
     
  • [109]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596907
    Beznea, L., Boboc, N. & Röckner, M. (2006). Markov processes associated with L-p-resolvents and applications to stochastic differential equations on Hilbert space. Journal of Evolution Equations, 6(4), 745-772. Birkhäuser. doi:10.1007/s00028-006-0287-2.
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  • [108]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597497
    Beznea, L., Boboc, N. & Röckner, M. (2006). Quasi-regular Dirichlet forms and L-p-resolvents on measurable spaces. Potential Analysis, 25(3), 269-282. Springer. doi:10.1007/s11118-006-9016-2.
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    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596393
    Röckner, M., Wang, F.-Y. & Wu, L. (2006). Large deviations for stochastic generalized porous media equations. Stochastic Processes and their Applications, 116(12), 1677-1689. Elsevier. doi:10.1016/j.spa.2006.05.007.
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    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599439
    Röckner, M. & Wang, F.-Y. (2006). Functional inequalities for particle systems on Polish spaces. Potential Analysis, 24(3), 223-243. Springer. doi:10.1007/s11118-005-0913-6.
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    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599008
    Barbu, V., Bogachev, V.I., Da Prato, G. & Röckner, M. (2006). Weak solutions to the stochastic porous media equation via Kolmogorov equations: The degenerate case. Journal of Functional Analysis, 237(1), 54-75. Academic Press. doi:10.1016/j.jfa.2006.01.021.
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    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600893
    Da Prato, G., Röckner, M., Rozovskii, B.L. & Wang, F.-Y. (2006). Strong solutions of stochastic generalized porous media equations: Existence, uniqueness, and ergodicity. Communications in Partial Differential Equations, 31(2), 277-291. Taylor & Francis. doi:10.1080/03605300500357998.
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    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599748
    Kondratiev, Y., Lytvynov, E. & Röckner, M. (2006). Infinite interacting diffusion particles I: Equilibrium process and its scaling limit. FORUM MATHEMATICUM, 18(1), 9-43. WALTER DE GRUYTER & CO. doi:10.1515/FORUM.2006.002.
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    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1872405
    Bernabei, S., Röckner, M., Yoshida, M.I.W. & Albeverio, S. (2005). Homogenization with respect to Gibbs measures for periodic drift diffusions on lattices. Comptes Rendus Mathematique, 341(11), 675-678. Elsevier. doi:10.1016/j.crma.2005.09.044.
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    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1872430
    Bogachev, V.I., Röckner, M. & Shaposhnikov, S.V. (2005). Global regularity and bounds for solutions of parabolic equations for probability measures. SIAM Theory of Probability and its Applications, 50(4), 561-581. SIAM Publications. doi:10.1137/S0040585X97981986.
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    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605208
    Krylov, N.V. & Röckner, M. (2005). Strong solutions of stochastic equations with singular time dependent drift. Probability Theory and Related Fields, 131(2), 154-196. Springer. doi:10.1007/s00440-004-0361-z.
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    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600780
    Bogachev, V.I., Krylov, N.V. & Röckner, M. (2005). Regularity and global bounds of densities of invariant measures of diffusion processes. Doklady Mathematics, 72(3), 934-938. Interperiodica.
    PUB | WoS
     
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    2005 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1872422
    Ren, J. & Röckner, M. (2005). A remark on sets in infinite dimensional spaces with full or zero capacity. Stochastic Analysis: Classical and Quantum. Perspectives of white noise theory. (S. 177-186). Gehalten auf der "Stochastic Analysis: Classical and Quantum" - Perspectives of White Noise Theory, Singapore: World Scientific.
    PUB | Download (ext.)
     
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    2005 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1874572
    Röckner, M. (2005). PDE Approach to Invariant and Gibbs Measures with Applications (Infinite dimensional harmonic analysis). In H. Heyer (Hrsg.), Infinite Dimensional Harmonic Analysis III (S. 351). Hackensack, N.J: World Scientific.
    PUB | Download (ext.)
     
  • [96]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605081
    Cerrai, S. & 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(1), 69-105. Elsevier. doi:10.1016/j.anihpb.2004.03.001.
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    2005 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1874610
    Albeverio, S., Röckner, M., Pasurek, T. & Kondratiev, Y. (2005). Euclidean Gibbs Measures of Quantum Crystals: Existence, Uniqueness and A-Priori Estimates. In J.-D. Deuschel (Hrsg.), Interacting Stochastic Systems (S. 29-54). Berlin: Springer.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608612
    Röckner, M. & Wang, F.-Y. (2004). On the spectrum of a class of non-sectorial diffusion operators. Bulletin of the London Mathematical Society , 36(1), 95-104. London Mathematical Society . doi:10.1112/S002460930300273X.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606483
    Bogachev, V.I., Da Prato, G., Röckner, M. & Sobol, Z. (2004). Global gradient bounds for dissipative diffusion operators. Comptes Rendus Mathematique, 339(4), 277-282. Elsevier. doi:10.1016/j.crma.2004.05.016.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607633
    Röckner, M. & Sobol, Z. (2004). A new approach to Kolmogorov equations in infinite dimensions and applications to stochastic generalized Burgers equations. Comptes Rendus Mathematique, 338(12), 945-949. Elsevier. doi:10.1016/j.crma.2004.03.024.
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    2004 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1877234
    Da Prato, G. & Röckner, M. (2004). Invariant Measures for a Stochastic Porous Medium Equation (Advanced studies in pure mathematics). In H. Kunita, S. Watanabe & Y. Takahashi (Hrsg.), Stochastic Analysis and Related Topics (S. 13-29). Gehalten auf der Stochastic Analysis and the Related Topics, Tokyo: Mathematical Soc. of Japan. doi:10.2969/aspm/04110013.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607410
    Bogachev, V.I., Da Prato, G. & Röckner, M. (2004). Invariant measures of generalized stochastic porous medium equations. Doklady Mathematics, 69(3), 321-325. Interperiodica.
    PUB | WoS
     
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607686
    Da Prato, G. & Röckner, M. (2004). Weak solutions to stochastic porous media equations. Journal of Evolution Equations, 4(2), 249-271. Birkhäuser. doi:10.1007/s00028-003-0140-9.
    PUB | DOI | WoS
     
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606613
    Röckner, M. & 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(2), 385-427. EMS Publishing House. doi:10.2977/prims/1145475808.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607414
    Bogachev, V.I., Röckner, M. & Wang, F.-Y. (2004). Invariance implies Gibbsian: Some new results. Communications in Mathematical Physics, 248(2), 335-355. Springer. doi:10.1007/s00220-004-1096-5.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608272
    Cerrai, S. & Röckner, M. (2004). Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term. Annals of Probability, 32(1B), 1100-1139. Institute of Mathematical Statistics .
    PUB | WoS
     
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607902
    Bogachev, V.I., Da Prato, G. & Röckner, M. (2004). Existence of solutions to weak parabolic equations for measures. Proceedings of the London Mathematical Society, 88(3), 753-774. Wiley. doi:10.1112/S0024611503014540.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609133
    Lescot, P. & Röckner, M. (2004). Perturbations of generalized Mehler semigroups and applications to stochastic heat equations with Levy noise and singular drift. Potential Analysis, 20(4), 317-344. Kluwer Academic Publ. doi:10.1023/B:POTA.0000009814.54278.34.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607625
    Kondratiev, Y., Konstantinov, A.Y. & Röckner, M. (2004). Uniqueness of diffusion generators for two types of particle systems with singular interactions. JOURNAL OF FUNCTIONAL ANALYSIS, 212(2), 357-372. ACADEMIC PRESS INC ELSEVIER SCIENCE. doi:10.1016/j.jfa.2004.03.012.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608071
    Kondratiev, Y., Rebenko, A.L. & Röckner, M. (2004). On diffusion dynamics for continuous systems with singular superstable interaction. JOURNAL OF MATHEMATICAL PHYSICS, 45(5), 1826-1848. AMER INST PHYSICS. doi:10.1063/1.1690489.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608265
    Albeverio, S., Kondratiev, Y., Pasurek, T. & Röckner, M. (2004). Euclidean Gibbs measures on loop lattices: Existence and a priori estimates. ANNALS OF PROBABILITY, 32(1A), 153-190. INST MATHEMATICAL STATISTICS.
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609893
    Röckner, M. & Wang, F.-Y. (2003). Supercontractivity and ultracontractivity for (non-symmetric) diffusion semigroups on manifolds. Forum Mathematicum, 15(6), 893-921. Walter de Gruyter. doi:10.1515/form.2003.044.
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609835
    Bogachev, V.I. & Röckner, M. (2003). On L-P-uniqueness of symmetric diffusion operators on Riemannian manifolds. Sbornik: Mathematics, 194(7-8), 969-978. LONDON MATHEMATICAL SOCIETY RUSSIAN ACAD SCIENCES. doi:10.1070/SM2003v194n07ABEH000750.
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609600
    Cerrai, S. & Röckner, M. (2003). Large deviations for invariant measures of general stochastic reaction-diffusion systems. Comptes Rendus Mathematique, 337(9), 597-602. Elsevier. doi:10.1016/j.crma.2003.09.015.
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612172
    Röckner, M. & Zhang, T.S. (2003). Lower order perturbations of Dirichlet processes. Forum Mathematicum, 15(2), 285-297. de Gruyter. doi:10.1515/form.2003.016.
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610471
    Röckner, M. & Wang, F.-Y. (2003). Harnack and functional inequalities for generalized Mehler semigroups. Journal of Functional Analysis, 203(1), 237-261. Academic Press. doi:10.1016/S0022-1236(03)00165-4.
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1611843
    Albeverio, S., Kondratiev, Y., Kozitsky, Y. & Röckner, M. (2003). Quantum stabilization in anharmonic crystals. PHYSICAL REVIEW LETTERS, 90(17): 170603. AMERICAN PHYSICAL SOC. doi:10.1103/PhysRevLett.90.170603.
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612204
    Kondratiev, Y., Lytvynov, E. & Röckner, M. (2003). The heat semigroup on configuration spaces. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 39(1), 1-48. KYOTO UNIV. doi:10.2977/prims/1145476147.
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1611030
    Grothaus, M., Kondratiev, Y., Lytvynov, E. & Röckner, M. (2003). Scaling limit of stochastic dynamics in classical continuous systems. ANNALS OF PROBABILITY, 31(3), 1494-1532. INST MATHEMATICAL STATISTICS.
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609941
    Albeverio, S., Kondratiev, Y., Kozitsky, Y. & Röckner, M. (2003). Small mass implies uniqueness of Gibbs states of a quantum crystal. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 241(1), 69-90. SPRINGER-VERLAG. doi:10.1007/s00220-003-0923-4.
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    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613244
    Bogachev, V.I., Röckner, M. & Stannat, W. (2002). Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions. Sbornik: Mathematics, 193(7-8), 945-976. Turpion . doi:10.1070/SM2002v193n07ABEH000665.
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    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613192
    Da Prato, G. & Röckner, M. (2002). Singular dissipative stochastic equations in Hilbert spaces. Probability Theory and Related Fields, 124(2), 261-303. Springer. doi:10.1007/s004400200214.
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    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613297
    Lescot, P. & Röckner, M. (2002). Generators of mehler-type semigroups as pseudo-differential operators. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 5(3), 297-315. World Scientific. doi:10.1142/S0219025702000894.
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    1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649910
    Albeverio, S., FUKUSHIMA, M., Hansen, W., MA, Z.M. & Röckner, M. (1991). CAPACITIES ON WIENER SPACE - TIGHTNESS AND INVARIANCE. Comptes Rendus de l'Academie des Sciences. Series I, Mathematics , 312(12), 931-935. GAUTHIER-VILLARS.
    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), 155-165. Academic Press. doi:10.1016/0022-1236(90)90072-S.
    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), 105-135. Springer. doi:10.1007/BF01210928.
    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), 1-76. American Mathematical Society (AMS). doi:10.1090/memo/0324.
    PUB | DOI | WoS
     
  • [2]
    1985 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1657884
    Röckner, M. (1985). Generalized Markov fields and Dirichlet forms. Acta Applicandae Mathematica, 3(3), 285-311. Kluwer Academic Publ. doi:10.1007/BF00047332.
    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), 153-177. Springer. doi:10.1007/BF01457522.
    PUB | DOI | WoS
     
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