Michael Röckner

PEVZ-ID
10585

307 Publikationen

Alle markieren

  • [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): 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: 2987158
    Bogachev VI, Röckner M, Shaposhnikov SV (2023)
    Kolmogorov Problems on Equations for Stationary and Transition Probabilities of Diffusion Processes.
    Theory of Probability and its Applications 68(3): 342-369.
    PUB | DOI | WoS
     
  • [303]
    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
     
  • [302]
    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
     
  • [301]
    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
     
  • [300]
    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.
    PUB | DOI | WoS
     
  • [299]
    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.
    PUB | DOI | WoS
     
  • [298]
    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.
    PUB | WoS
     
  • [297]
    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
     
  • [296]
    2023 | Preprint | Veröffentlicht | PUB-ID: 2967998
    Herr S, Röckner M, Spitz M, Zhang D (2023)
    The three dimensional stochastic Zakharov system.
    PUB | arXiv
     
  • [295]
    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.
    PUB | DOI | WoS
     
  • [294]
    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
     
  • [293]
    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
     
  • [292]
    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.
    PUB | DOI | WoS
     
  • [291]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2979256
    Röckner M, Su Y, Zhang D (2023)
    Multi solitary waves to stochastic nonlinear Schrodinger equations.
    Probability Theory and Related Fields.
    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.
    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.
    PUB | DOI | WoS
     
  • [288]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969174
    Bogachev VI, Röckner M, Shaposhnikov SV (2022)
    Applications of Zvonkin's Transform to Stationary Kolmogorov Equations.
    Doklady Mathematics 106(2): 318-321.
    PUB | DOI | WoS
     
  • [287]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2967252
    Bogachev VI, Röckner M, Shaposhnikov SV (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: 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; 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: 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): 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, 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.
    PUB | DOI | WoS
     
  • [278]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957066
    Liu W, Röckner M, da Silva JL (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 NR, 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): 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): 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: 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): 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: 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): 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): 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: 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): 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): 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): 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): 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, 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.
    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 VI, Röckner M, Shaposhnikov SV (2020)
    On the Ambrosio-Figalli-Trevisan Superposition Principle for Probability Solutions to Fokker-Planck-Kolmogorov Equations.
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS.
    PUB | DOI | WoS
     
  • [256]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2940088
    Liu W, Röckner M, Sun X, 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.
    PUB | DOI | WoS
     
  • [255]
    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; 614.
    Bielefeld: Center for Mathematical Economics.
    PUB | PDF
     
  • [254]
    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; 618.
    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): 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): 3017-3035.
    PUB | DOI | WoS
     
  • [251]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935865
    Bogachev VI, Röckner M, Shaposhnikov SV (2019)
    Convergence in variation of solutions of nonlinear Fokker-Planck-Kolmogorov equations to stationary measures.
    Journal of Functional Analysis 276(12): 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: 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 VI, Röckner M, Shaposhnikov SV (2019)
    On the Superposition Principle for Fokker-Planck-Kolmogorov Equations.
    DOKLADY MATHEMATICS 100(1): 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): 3755-3807.
    PUB | DOI | WoS
     
  • [246]
    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.
    PUB | DOI | WoS
     
  • [245]
    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.
    PUB | DOI | Download (ext.) | WoS | arXiv
     
  • [244]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2921248
    Liu W, Röckner M, da Silva JL (2018)
    Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives.
    SIAM Journal on Mathematical Analysis 50(3): 2588-2607.
    PUB | DOI | WoS
     
  • [243]
    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.
    PUB | DOI | WoS
     
  • [242]
    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.
    PUB | DOI | WoS
     
  • [241]
    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.
    PUB | DOI | WoS
     
  • [240]
    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.
    PUB | DOI | WoS
     
  • [239]
    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 .
    PUB | DOI | WoS
     
  • [238]
    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.
    PUB | DOI | WoS
     
  • [237]
    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.
    PUB | DOI | WoS
     
  • [236]
    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.
    PUB | DOI | WoS
     
  • [235]
    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.
    PUB | DOI | WoS
     
  • [234]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932801
    Bogachev VI, Röckner M, Shaposhnikov SV (2018)
    Convergence to Stationary Measures in Nonlinear Fokker-Planck-Kolmogorov Equations.
    DOKLADY MATHEMATICS 98(2): 452-457.
    PUB | DOI | WoS
     
  • [233]
    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.
    PUB | DOI | WoS
     
  • [232]
    2017 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2931386
    Albeverio S, Röckner M, Yoshida MW (2017)
    Quantum Fields.
    In: Let Us Use White Noise. Hida T, Streit L (Eds); New Jersey, London: World Scientific: 37-65.
    PUB | DOI | Inspire
     
  • [231]
    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.
    PUB | DOI | WoS
     
  • [230]
    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.
    PUB | DOI | WoS
     
  • [229]
    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.
    PUB | DOI | WoS
     
  • [228]
    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.
    PUB | DOI | WoS
     
  • [227]
    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.
    PUB | DOI | WoS
     
  • [226]
    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.
    PUB | DOI | WoS
     
  • [225]
    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.
    PUB | DOI | WoS
     
  • [224]
    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.
    PUB | DOI | WoS
     
  • [223]
    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.
    PUB | DOI | WoS
     
  • [222]
    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.
    PUB | DOI | WoS
     
  • [221]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904084
    Da Prato G, Flandoli F, Röckner M, Veretennikov AY (2016)
    Strong uniqueness for SDEs in Hilbert spaces with nonregular drift.
    The Annals of Probability 44(3): 1985-2023.
    PUB | DOI | WoS
     
  • [220]
    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.
    PUB | DOI | WoS
     
  • [219]
    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911801
    Barbu V, Da Prato G, Röckner M (2016)
    Transition Semigroup.
    In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer Int Publishing AG: 167-195.
    PUB | DOI | WoS
     
  • [218]
    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.
    PUB | DOI | WoS
     
  • [217]
    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.
    PUB | DOI | WoS
     
  • [216]
    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.
    PUB | DOI | WoS
     
  • [215]
    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.
    PUB | DOI | WoS
     
  • [214]
    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911796
    Barbu V, Da Prato G, Röckner M (2016)
    Equations with Lipschitz Nonlinearities.
    In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer : 19-47.
    PUB | DOI | WoS
     
  • [213]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905502
    Bogachev VI, Röckner M, Shaposhnikov SV (2016)
    Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations.
    Journal of Functional Analysis 271(5): 1262-1300.
    PUB | DOI | WoS
     
  • [212]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917155
    Bogachev VI, Röckner M, Shaposhnikov SV (2016)
    Estimates of distances between transition probabilities of diffusions.
    Doklady Mathematics 93(2): 135-139.
    PUB | DOI | WoS
     
  • [211]
    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911797
    Barbu V, Da Prato G, Röckner M (2016)
    Equations with Maximal Monotone Nonlinearities.
    In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer : 49-93.
    PUB | DOI | WoS
     
  • [210]
    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911798
    Barbu V, Da Prato G, Röckner M (2016)
    Variational Approach to Stochastic Porous Media Equations.
    In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer Int Publishing AG: 95-106.
    PUB | DOI | WoS
     
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    2016 | Herausgeber*in Sammelwerk | Veröffentlicht | PUB-ID: 2911795
    Barbu V, Da Prato G, Röckner M (Eds) (2016)
    Stochastic Porous Media Equations Preface. Lecture Notes in Mathematics; 2163.
    Cham: Springer.
    PUB | DOI | WoS
     
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    2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911794
    Barbu V, Da Prato G, Röckner M (2016)
    Stochastic Porous Media Equations Introduction.
    In: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer Int Publishing AG: 1-18.
    PUB | DOI | WoS
     
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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: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer Int Publishing AG: 133-165.
    PUB | DOI | WoS
     
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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: Stochastic porous media equations. Barbu V, Da Prato G, Röckner M (Eds); Lecture Notes in Mathematics, 2163. Cham: Springer Int Publishing AG: 107-131.
    PUB | DOI | WoS
     
  • [205]
    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.
    PUB | DOI | WoS
     
  • [204]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2730756
    Jentzen A, Röckner M (2015)
    A Milstein Scheme for SPDEs.
    Foundations of Computational Mathematics 15(2): 313-362.
    PUB | DOI | WoS
     
  • [203]
    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.
    PUB | DOI | WoS
     
  • [202]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901228
    Bogachev VI, Da Prato G, Röckner M, Shaposhnikov SV (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.
    PUB | DOI | WoS
     
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    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2786346
    Bogachev VI, Da Prato G, Röckner M, Shaposhnikov SV (2015)
    On the uniqueness of solutions to continuity equations.
    Journal of Differential Equations 259(8): 3854-3873.
    PUB | DOI | WoS
     
  • [200]
    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.
    PUB | DOI | WoS
     
  • [199]
    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): 617-627.
    PUB | DOI | WoS
     
  • [198]
    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: 358-397.
    PUB | DOI | WoS
     
  • [197]
    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): 1657-1687.
    PUB | DOI | WoS
     
  • [196]
    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): 1202-1273.
    PUB | DOI | WoS
     
  • [195]
    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): 4058-4090.
    PUB | DOI | WoS
     
  • [194]
    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.
    PUB | DOI | WoS
     
  • [193]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2673605
    Kolesnikov AV, Röckner M (2014)
    On continuity equations in infinite dimensions with non-Gaussian reference measure.
    Journal of Functional Analysis 266(7): 4490-4537.
    PUB | DOI | WoS
     
  • [192]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677412
    Albeverio S, Röckner M, Yoshida MW (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.
    PUB | DOI | WoS
     
  • [191]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2699769
    Bogachev VI, Röckner M, Shaposhnikov SV (2014)
    On existence of Lyapunov functions for a stationary Kolmogorov equation with a probability solution.
    Doklady Mathematics 90(1): 424-428.
    PUB | DOI | WoS
     
  • [190]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660829
    Bogachev VI, Röckner M, Shaposhnikov SV (2014)
    On parabolic inequalities for generators of diffusions with jumps.
    Probability Theory and Related Fields 158(1-2): 465-476.
    PUB | DOI | WoS
     
  • [189]
    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): 83-109.
    PUB | DOI | WoS
     
  • [188]
    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): 1974-2002.
    PUB | DOI | WoS
     
  • [187]
    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): 797-834.
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625721
    Bogachev VI, Röckner M, Shaposhnikov SV (2013)
    On uniqueness of solutions to the Cauchy problem for degenerate Fokker-Planck-Kolmogorov equations.
    Journal Of Evolution Equations 13(3): 577-593.
    PUB | DOI | WoS
     
  • [185]
    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): 725-755.
    PUB | DOI | WoS
     
  • [184]
    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): 545-560.
    PUB | DOI | WoS
     
  • [183]
    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.
    PUB | DOI | WoS
     
  • [182]
    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): 3299-3327.
    PUB | DOI | WoS
     
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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): 560-571.
    PUB | DOI | WoS
     
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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): 3943-3962.
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2636018
    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.
    PUB | DOI | WoS
     
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    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2584527
    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.
    PUB | DOI | WoS
     
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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.
    PUB | DOI | WoS
     
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    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2530570
    Bogachev VI, Röckner M, Shaposhnikov SV (2012)
    On Positive and Probability Solutions to the Stationary Fokker-Planck-Kolmogorov Equation.
    Doklady Mathematics 85(3): 350-354.
    PUB | DOI | WoS
     
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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.
    PUB | DOI | WoS
     
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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): 147-164.
    PUB | DOI | WoS
     
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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.
    PUB | DOI | WoS
     
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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): 114-136.
    PUB | DOI | WoS
     
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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): 539-555.
    PUB | DOI | WoS
     
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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): 716-744.
    PUB | DOI | WoS
     
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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.
    PUB | DOI | WoS
     
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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): 1759-1794.
    PUB | DOI | WoS
     
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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.
    PUB | DOI | WoS
     
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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): 2494-2514.
    PUB | DOI | WoS
     
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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): 1-43.
    PUB | DOI | WoS
     
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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): 2845-2876.
    PUB | DOI | WoS
     
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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): 731-741.
    PUB | DOI | WoS
     
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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): 293-307.
    PUB | DOI | WoS
     
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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): 844-870.
    PUB | DOI | WoS
     
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    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003388
    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.
    PUB | DOI | WoS
     
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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): 1225-1253.
    PUB | DOI | WoS
     
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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): 363-376.
    PUB | DOI | WoS
     
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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): 435-438.
    PUB | DOI | WoS
     
  • [156]
    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): 2902-2922.
    PUB | DOI | WoS
     
  • [155]
    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): 616-649.
    PUB | DOI | WoS
     
  • [154]
    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: 1528-1555.
    PUB | WoS
     
  • [153]
    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): 267-285.
    PUB | DOI | WoS
     
  • [152]
    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): 487-509.
    PUB | DOI | WoS
     
  • [151]
    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): 27-37.
    PUB | DOI | WoS
     
  • [150]
    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): 1175-1178.
    PUB | DOI | WoS
     
  • [149]
    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): 1106-1120.
    PUB | DOI | WoS
     
  • [148]
    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): 525-549.
    PUB | DOI | WoS
     
  • [147]
    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): 211-267.
    PUB | DOI | WoS
     
  • [146]
    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): 1725-1764.
    PUB | DOI | WoS
     
  • [145]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633319
    Bogachev VI, Röckner M, Shaposhnikov SV (2009)
    Lower estimates of densities of solutions of elliptic equations for measures.
    Doklady Mathematics 79(3): 329-334.
    PUB | DOI | WoS
     
  • [144]
    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): 353-358.
    PUB | DOI | WoS
     
  • [143]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1633933
    Barbu V, Da Prato G, Röckner M (2009)
    Existence of strong solutions for stochastic porous media equation under general monotonicity conditions.
    Annals of Probability 37(2): 428-452.
    PUB | DOI | WoS
     
  • [142]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1589155
    Bogachev VI, Röckner M, Shaposhnikov SV (2009)
    Nonlinear evolution and transport equations for measures.
    Doklady Mathematics 80(3): 785-789.
    PUB | DOI | WoS
     
  • [141]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636211
    Barbu V, Da Prato G, Röckner M (2009)
    Stochastic Porous Media Equations and Self-Organized Criticality.
    Communications in Mathematical Physics 285(3): 901-923.
    PUB | DOI | WoS
     
  • [140]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1591777
    Bogachev VI, Röckner M, Shaposhnikov SV (2009)
    Positive Densities of Transition Probabilities of Diffusion Processes.
    Theory of Probability & Its Applications 53(2): 194-215.
    PUB | DOI | WoS
     
  • [139]
    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): 81-84.
    PUB | DOI | WoS
     
  • [138]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635704
    Bogachev VI, 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.
    PUB | DOI | WoS
     
  • [137]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795496
    Bogachev VI, Krylov NV, Röckner M (2009)
    Elliptic and parabolic equations for measures.
    Russian Mathematical Surveys 64(6): 973-1078.
    PUB | DOI | WoS
     
  • [136]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636506
    Bogachev VI, Röckner M, Shaposhnikov SV (2008)
    Estimates of Densities of Stationary Distributions and Transition Probabilities of Diffusion Processes .
    Theory of Probability & Its Applications 52(2): 209-236.
    PUB | DOI | WoS
     
  • [135]
    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): 187-211.
    PUB | DOI | WoS
     
  • [134]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1588038
    Bogachev VI, Da Prato G, Röckner M (2008)
    Infinite dimensional Kolmogorov operators with time dependent drift coefficients.
    Doklady Mathematics 77(2): 276-280.
    PUB | DOI | WoS
     
  • [133]
    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): 247-259.
    PUB | WoS
     
  • [132]
    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.
    PUB | DOI | WoS
     
  • [131]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586510
    Bogachev VI, Da Prato G, Röckner M (2008)
    Parabolic equations for measures on infinite-dimensional spaces.
    Doklady Mathematics 78(1): 544-549.
    PUB | DOI | WoS
     
  • [130]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592500
    Bogachev VI, Da Prato G, Röckner M (2008)
    On parabolic equations for measures.
    Communications in Partial Differential Equations 33(3): 397-418.
    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.
    PUB | DOI | WoS
     
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    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.
    PUB | WoS
     
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794538
    Prévôt C, Röckner M (2007)
    Weak and Strong Solutions: the Yamada-Watanabe Theorem.
    In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 121-132.
    PUB | WoS
     
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794526
    Prévôt C, Röckner M (2007)
    The Bochner Integral.
    In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 105-108.
    PUB | WoS
     
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794520
    Prévôt C, Röckner M (2007)
    Stochastic Differential Equations in Finite Dimensions.
    In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 43-54.
    PUB | DOI | WoS
     
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794532
    Prévôt C, Röckner M (2007)
    Pseudo Inverse of Linear Operators.
    In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 115-117.
    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.
    PUB | DOI | WoS
     
  • [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.
    PUB | DOI | WoS
     
  • [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.
    PUB | DOI | WoS
     
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794529
    Prévôt C, Röckner M (2007)
    Nuclear and Hilbert-Schmidt Operators.
    In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 109-113.
    PUB | WoS
     
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794535
    Prévôt C, Röckner M (2007)
    Some Tools from Real Martingale Theory.
    In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 119-119.
    PUB | WoS
     
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794541
    Prévôt C, Röckner M (2007)
    Strong, Mild and Weak Solutions.
    In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin: Springer: 133-136.
    PUB | WoS
     
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794514
    Prévôt C, Röckner M (2007)
    Motivation, Aims and Examples.
    In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berling: Springer: 1-4.
    PUB | DOI | WoS
     
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794523
    Prévôt C, Röckner M (2007)
    A Class of Stochastic Differential Equations.
    In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin ; Heidelberg: Springer: 55-103.
    PUB | DOI | WoS
     
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    2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794517
    Prévôt C, Röckner M (2007)
    The Stochastic Integral in General Hilbert Spaces (w.r.t. Brownian Motion).
    In: A Concise Course on Stochastic Partial Differential Equations. Prévôt C, Röckner M (Eds); Lecture Notes in Mathematics, 1905. Berlin ; Heidelberg: Springer: 5-42.
    PUB | DOI | WoS
     
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    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1632672
    Bogachev VI, 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.
    PUB | DOI | WoS
     
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    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.
    PUB | DOI | WoS
     
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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.
    PUB | DOI | WoS
     
  • [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.
    PUB | DOI | Download (ext.) | WoS
     
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    2006 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1872394
    Bogachev VI, Da Prato G, Röckner M, Sobol Z (2006)
    Gradient bounds for solutions of elliptic and parabolic equations.
    In: Stochastic Differential Equations and Applications - VII. Da Prato G, Tubaro L (Eds); Lecture notes in pure and applied mathematics, 245. Boca Raton: Chapman & Hall/CRC: 27-34.
    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.
    PUB | DOI | WoS
     
  • [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.
    PUB | DOI | WoS
     
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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.
    PUB | DOI | WoS
     
  • [106]
    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.
    PUB | DOI | WoS
     
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    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1599008
    Barbu V, Bogachev VI, 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.
    PUB | DOI | WoS
     
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    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600893
    Da Prato G, Röckner M, Rozovskii BL, 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.
    PUB | DOI | WoS
     
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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.
    PUB | DOI | WoS
     
  • [102]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1872405
    Bernabei S, Röckner M, Yoshida MIW, Albeverio S (2005)
    Homogenization with respect to Gibbs measures for periodic drift diffusions on lattices.
    Comptes Rendus Mathematique 341(11): 675-678.
    PUB | DOI | WoS
     
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    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1872430
    Bogachev VI, Röckner M, Shaposhnikov SV (2005)
    Global regularity and bounds for solutions of parabolic equations for probability measures.
    SIAM Theory of Probability and its Applications 50(4): 561-581.
    PUB | DOI | Download (ext.) | WoS
     
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    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605208
    Krylov NV, Röckner M (2005)
    Strong solutions of stochastic equations with singular time dependent drift.
    Probability Theory and Related Fields 131(2): 154-196.
    PUB | DOI | WoS
     
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    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600780
    Bogachev VI, Krylov NV, Röckner M (2005)
    Regularity and global bounds of densities of invariant measures of diffusion processes.
    Doklady Mathematics 72(3): 934-938.
    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.
    In: Stochastic Analysis: Classical and Quantum. Perspectives of white noise theory. Singapore: World Scientific: 177-186.
    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.
    In: Infinite Dimensional Harmonic Analysis III. Heyer H (Ed); Infinite dimensional harmonic analysis, 3. Hackensack, N.J: World Scientific: 351.
    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.
    PUB | DOI | WoS
     
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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: Interacting Stochastic Systems. Deuschel J-D (Ed); Berlin: Springer: 29-54.
    PUB
     
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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.
    PUB | DOI | WoS
     
  • [93]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606483
    Bogachev VI, Da Prato G, Röckner M, Sobol Z (2004)
    Global gradient bounds for dissipative diffusion operators.
    Comptes Rendus Mathematique 339(4): 277-282.
    PUB | DOI | WoS
     
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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.
    PUB | DOI | WoS
     
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    2004 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1877234
    Da Prato G, Röckner M (2004)
    Invariant Measures for a Stochastic Porous Medium Equation.
    In: Stochastic Analysis and Related Topics. Kunita H, Watanabe S, Takahashi Y (Eds); Advanced studies in pure mathematics, 41. Tokyo: Mathematical Soc. of Japan: 13-29.
    PUB | DOI
     
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607410
    Bogachev VI, Da Prato G, Röckner M (2004)
    Invariant measures of generalized stochastic porous medium equations.
    Doklady Mathematics 69(3): 321-325.
    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.
    PUB | DOI | WoS
     
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606613
    Röckner M, Zhang TS (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.
    PUB | DOI | WoS
     
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607414
    Bogachev VI, Röckner M, Wang F-Y (2004)
    Invariance implies Gibbsian: Some new results.
    Communications in Mathematical Physics 248(2): 335-355.
    PUB | DOI | WoS
     
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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.
    PUB | WoS
     
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607902
    Bogachev VI, 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.
    PUB | DOI | WoS
     
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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.
    PUB | DOI | WoS
     
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607625
    Kondratiev Y, Konstantinov AY, Röckner M (2004)
    Uniqueness of diffusion generators for two types of particle systems with singular interactions.
    JOURNAL OF FUNCTIONAL ANALYSIS 212(2): 357-372.
    PUB | DOI | WoS
     
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608071
    Kondratiev Y, Rebenko AL, Röckner M (2004)
    On diffusion dynamics for continuous systems with singular superstable interaction.
    JOURNAL OF MATHEMATICAL PHYSICS 45(5): 1826-1848.
    PUB | DOI | WoS
     
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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.
    PUB | WoS
     
  • [80]
    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.
    PUB | DOI | WoS
     
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    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609835
    Bogachev VI, Röckner M (2003)
    On L-P-uniqueness of symmetric diffusion operators on Riemannian manifolds.
    Sbornik: Mathematics 194(7-8): 969-978.
    PUB | DOI | WoS
     
  • [78]
    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.
    PUB | DOI | WoS
     
  • [77]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612172
    Röckner M, Zhang TS (2003)
    Lower order perturbations of Dirichlet processes.
    Forum Mathematicum 15(2): 285-297.
    PUB | DOI | WoS
     
  • [76]
    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.
    PUB | DOI | WoS
     
  • [75]
    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.
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [74]
    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.
    PUB | DOI | WoS
     
  • [73]
    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.
    PUB | WoS
     
  • [72]
    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.
    PUB | DOI | WoS
     
  • [71]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613244
    Bogachev VI, 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.
    PUB | DOI | WoS
     
  • [70]
    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.
    PUB | DOI | WoS
     
  • [69]
    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.
    PUB | DOI | WoS
     
  • [68]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613047
    Bogachev VI, Pugachev OV, Röckner M (2002)
    Surface measures and tightness of Sobolev capacities on Poisson space.
    Doklady Mathematics 66(2): 157-160.
    PUB | WoS
     
  • [67]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613006
    Bogachev VI, Pugachev OV, Röckner M (2002)
    Surface measures and tightness of (r,p)-capacities on Poisson space.
    Journal of Functional Analysis 196(1): 61-86.
    PUB | DOI | WoS
     
  • [66]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613051
    Bogachev VI, Wang FY, Röckner M (2002)
    Invariant measures of stochastic gradient systems in Riemannian manifolds and Gibbs measures.
    Doklady Mathematics 66(2): 179-183.
    PUB | WoS
     
  • [65]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613055
    Bogachev VI, Da Prato G, Röckner M (2002)
    On weak parabolic equations for probability measures.
    Doklady Mathematics 66(2): 192-196.
    PUB | WoS
     
  • [64]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612751
    Albeverio S, Kondratiev Y, Kozitsky Y, Röckner M (2002)
    Euclidean Gibbs states of quantum lattice systems.
    REVIEWS IN MATHEMATICAL PHYSICS 14(12): 1335-1401.
    PUB | DOI | WoS
     
  • [63]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1612947
    Albeverio S, Kondratiev Y, Kozitsky Y, Röckner M (2002)
    Gibbs states of a quantum crystal: uniqueness by small particle mass.
    COMPTES RENDUS MATHEMATIQUE 335(8): 693-698.
    PUB | DOI | WoS
     
  • [62]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615560
    Bogachev VI, Krylov NV, Röckner M (2001)
    On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions.
    Communications in Partial Differential Equations 26(11-12): 2037-2080.
    PUB | DOI | WoS
     
  • [61]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616121
    Röckner M, Wang F-Y (2001)
    Weak Poincaré inequalities and L-2-convergence rates of Markov semigroups.
    Journal of Functional Analysis 185(2): 564-603.
    PUB | DOI | WoS
     
  • [60]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617681
    Bogachev V, Röckner M, Wang F-Y (2001)
    Elliptic equations for invariant measures on Riemannian manifolds: existence and regularity of solutions.
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 332(4): 333-338.
    PUB | DOI | WoS
     
  • [59]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617720
    Bogachev VP, Krylov NV, Röckner M (2001)
    Differentiability of the invariant measures and transition probabilities of singular diffusions.
    Doklady Mathematics 63(1): 18-21.
    PUB | WoS
     
  • [58]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616117
    Gong F, Röckner M, Liming W (2001)
    Poincaré inequality for weighted first order Sobolev spaces on loop spaces.
    Journal of Functional Analysis 185(2): 527-563.
    PUB | DOI | WoS
     
  • [57]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617754
    Bogachev VI, Röckner M, Wang F-Y (2001)
    Elliptic equations for invariant measures on finite and infinite dimensional manifolds.
    Journal de Mathématiques Pures et Appliquées 80(2): 177-221.
    PUB | DOI | WoS
     
  • [56]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616748
    Bogachev VI, Wang FY, Röckner M (2001)
    Elliptic equations associated with invariant measures of diffusions on finite- and infinite-dimensional manifolds.
    Doklady Mathematics 63(3): 351-354.
    PUB | WoS
     
  • [55]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616354
    Bogachev VI, Röckner M (2001)
    Elliptic equations for measures on infinite dimensional spaces and applications.
    Probability Theory and Related Fields 120(4): 445-496.
    PUB | DOI | WoS
     
  • [54]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615484
    Finkelshtein DL, Kondratiev Y, Röckner M, Konstantinov AY (2001)
    Gauss formula and symmetric extensions of the Laplacian on configuration spaces.
    INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 4(4): 489-509.
    PUB | DOI | WoS
     
  • [53]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616247
    Albeverio S, Grothaus M, Kondratiev Y, Röckner M (2001)
    Stochastic dynamics of fluctuations in classical continuous systems.
    JOURNAL OF FUNCTIONAL ANALYSIS 185(1): 129-154.
    PUB | DOI | WoS
     
  • [52]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617829
    da Silva J, Kondratiev Y, Röckner M (2001)
    On a relation between intrinsic and extrinsic Dirichlet forms for interacting particle systems.
    MATHEMATISCHE NACHRICHTEN 222: 141-157.
    PUB | DOI | WoS
     
  • [51]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615500
    Albeverio S, Kondratiev Y, Pasurek T, Röckner M (2001)
    Gibbs states on loop lattices: existence and a priori estimates.
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 333(11): 1005-1009.
    PUB | DOI | WoS
     
  • [50]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617918
    Albeverio S, Kondratiev Y, Kozitsky Y, Röckner M (2001)
    Uniqueness for Gibbs measures of quantum lattices in small mass regime.
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 37(1): 43-69.
    PUB | DOI | WoS
     
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616433
    Bogachev V, Röckner M (2000)
    A generalization of Khasminskii's theorem on the existence of invariant measures for locally integrable drifts.
    Theory of Probability & Its Applications 45(3): 363-378.
    PUB | DOI | WoS
     
  • [48]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619467
    Ren J, Röckner M (2000)
    Ray Hölder-continuity for fractional Sobolev spaces in infinite dimensions and applications.
    Probability Theory and Related Fields 117(2): 201-220.
    PUB | DOI | WoS
     
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621240
    Bogachev V, Röckner M, Zhang TS (2000)
    Existence and uniqueness of invariant measures: An approach via sectorial forms.
    Applied Mathematics and Optimization 41(1): 87-109.
    PUB | DOI | WoS
     
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620587
    Fuhrman M, Röckner M (2000)
    Generalized Mehler semigroups: The non-Gaussian case.
    Potential Analysis 12(1): 1-47.
    PUB | DOI | WoS
     
  • [45]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619161
    Ma Z-M, Röckner M (2000)
    Construction of diffusions on configuration spaces.
    Osaka Journal of Mathematics 37(2): 273-314.
    PUB | WoS
     
  • [44]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617639
    Ma Z-M, Röckner M, Sun W (2000)
    Approximation of Hunt processes by multivariate Poisson processes.
    Acta Applicandae Mathematica 63(1-3): 233-243.
    PUB | DOI | WoS
     
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617634
    Albeverio S, Daletskii A, Kondratiev Y, Röckner M (2000)
    Stochastic dynamics of compact spins: Ergodicity and irreducibility.
    ACTA APPLICANDAE MATHEMATICAE 63(1-3): 27-40.
    PUB | DOI | WoS
     
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620414
    Albeverio S, Kondratiev Y, Röckner M, Tsikalenko TV (2000)
    A priori estimates for symmetrizing measures and their applications to Gibbs states.
    JOURNAL OF FUNCTIONAL ANALYSIS 171(2): 366-400.
    PUB | DOI | WoS
     
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620659
    Liskevich V, Sobol Z, Röckner M (1999)
    Dirichlet operators with variable coefficients in L-p-spaces of functions of infinitely many variables coefficients.
    Infinite Dimensional Analysis, Quantum Probability and Related Topics 2(4): 487-502.
    PUB | DOI | WoS
     
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621467
    Bogachev V, Röckner M (1999)
    Elliptic equations for infinite dimensional probability distributions and Lyapunov functions.
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 329(8): 705-710.
    PUB | DOI | WoS
     
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623139
    Bogachev V, Lescot P, Röckner M (1999)
    The martingale problem for pseudo-differential operators on infinite-dimensional spaces.
    Nagoya Mathematical Journal 153: 101-118.
    PUB | DOI | WoS
     
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620925
    Röckner M, Schied A (1999)
    Rademacher's theorem on configuration spaces and applications.
    Journal of Functional Analysis 169(2): 325-356.
    PUB | DOI | WoS
     
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621097
    Röckner M, Zhang TS (1999)
    Probabilistic representations and hyperbound estimates for semigroups.
    Infinite Dimensional Analysis, Quantum Probability and Related Topics 2(3): 337-358.
    PUB | DOI | WoS
     
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622169
    Albeverio S, Hu YZ, Röckner M, Zhou XY (1999)
    Stochastic quantization of the two-dimensional polymer measure.
    Applied Mathematics and Optimization 40(3): 341-354.
    PUB | DOI | WoS
     
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623685
    Albeverio S, Bogachev V, Röckner M (1999)
    On uniqueness of invariant measures for finite- and infinite-dimensional diffusions.
    Communications on Pure and Applied Mathematics 52(3): 325-362.
    PUB | DOI | WoS
     
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623534
    Albeverio S, Kondratiev Y, Röckner M (1999)
    Diffeomorphism groups and current algebras: Configuration space analysis in quantum theory.
    REVIEWS IN MATHEMATICAL PHYSICS 11(1): 1-23.
    PUB | WoS
     
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622749
    Albeverio S, Kondratiev Y, Röckner M, Tsikalenko TV (1999)
    A-priori estimates and existence of Gibbs measures: a simplified proof.
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 328(11): 1049-1054.
    PUB | DOI | WoS
     
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622857
    Kondratiev Y, Konstantinov AY, Röckner M, Shchepan'uk GV (1999)
    Scattering problem for local perturbations of the free quantum gas.
    COMMUNICATIONS IN MATHEMATICAL PHYSICS 203(2): 421-444.
    PUB | DOI | WoS
     
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622370
    Albeverio S, Daletskii A, Kondratiev Y, Röckner M (1999)
    Fluctuations and their Glauber dynamics in lattice systems.
    JOURNAL OF FUNCTIONAL ANALYSIS 166(1): 148-167.
    PUB | DOI | WoS
     
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    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625592
    Ma Z-M, Röckner M, Zhang T-S (1998)
    Approximation of arbitrary Dirichlet processes by Markov chains.
    Annales de l'Institut Henri Poincare (B) Probability and Statistics 34(1): 1-22.
    PUB | DOI | WoS
     
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    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626293
    Röckner M, Schmuland B (1998)
    A support property for infinite-dimensional interacting diffusion processes.
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 326(3): 359-364.
    PUB | DOI | WoS
     
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    1998 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1884927
    Röckner M (1998)
    Stochastic Analysis on Configuration Spaces: Basic Ideas and Recent Results.
    In: New Directions in Dirichlet Forms. Jost J (Ed); Studies in Advances Mathematics, Providence, RI: American Mathematical Society: 157-231.
    PUB
     
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    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1884916
    Liskevich VI, Röckner M (1998)
    Strong Uniqueness for a Class of Intinite Dimensional Dirichlet Operators and Applications to Stochastic Quantization.
    Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4 27(1): 69-91.
    PUB
     
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    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625042
    Albeverio S, Kondratiev Y, Röckner M (1998)
    Analysis and geometry on configuration spaces: The Gibbsian case.
    JOURNAL OF FUNCTIONAL ANALYSIS 157(1): 242-291.
    PUB | DOI | WoS
     
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    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625675
    Albeverio S, Kondratiev Y, Röckner M (1998)
    Analysis and geometry on configuration spaces.
    JOURNAL OF FUNCTIONAL ANALYSIS 154(2): 444-500.
    PUB | DOI | WoS
     
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626150
    Röckner M, Zhang TS (1997)
    Convergence of operators semigroups generated by elliptic operators.
    Osaka Journal of Mathematics 34(4): 923-932.
    PUB | WoS
     
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628151
    Albeverio S, Ma Z-M, Röckner M (1997)
    Partitions of unity in Sobolev spaces over infinite dimensional state spaces.
    Journal of Functional Analysis 143(1): 247-268.
    PUB | DOI | WoS
     
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627421
    Albeverio S, Kondratiev Y, Röckner M (1997)
    Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states.
    JOURNAL OF FUNCTIONAL ANALYSIS 149(2): 415-&.
    PUB | DOI | WoS
     
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1637772
    Albeverio S, Kondratiev Y, Röckner M (1997)
    Ergodicity of L(2)-semigroups and extremality of Gibbs states.
    JOURNAL OF FUNCTIONAL ANALYSIS 144(2): 394-423.
    PUB | DOI | WoS
     
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626717
    Albeverio S, Kondratiev Y, Röckner M, Tsikalenko TV (1997)
    Dobrushin's uniqueness for quantum lattice systems with nonlocal interaction.
    COMMUNICATIONS IN MATHEMATICAL PHYSICS 189(2): 621-630.
    PUB | DOI | WoS
     
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627885
    Albeverio S, Kondratiev Y, Röckner M, Tsikalenko TV (1997)
    Uniqueness of Gibbs states for quantum lattice systems.
    PROBABILITY THEORY AND RELATED FIELDS 108(2): 193-218.
    PUB | DOI | WoS
     
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627324
    Albeverio S, Kondratiev Y, Röckner M, Tsikalenko TV (1997)
    Uniqueness of Gibbs states on loop lattices.
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 324(12): 1401-1406.
    PUB | DOI | WoS
     
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    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638991
    Bogachev VI, Röckner M, Schmuland B (1996)
    Generalized Mehler semigroups and applications.
    Probability Theory and Related Fields 105(2): 193-225.
    PUB | WoS
     
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    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638061
    Lyons TJ, Röckner M, Zhang TS (1996)
    Martingale decomposition of Dirichlet processes on the Banach space C-0[0,1].
    Stochastic Processes and their Applications 64(1): 31-38.
    PUB | DOI | WoS
     
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    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1639025
    Bogachev VI, Krylov N, Röckner M (1996)
    Regularity of invariant measures: The case of non-constant diffusion part.
    Journal of Functional Analysis 138(1): 223-242.
    PUB | DOI | WoS
     
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    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): 1129-1134.
    PUB | WoS
     
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    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): 1179-1184.
    PUB | WoS
     
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    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640065
    Bogachev VI, Röckner M (1995)
    Regularity of Invariant Measures on Finite and Infinite Dimensional Spaces and Applications.
    Journal of Functional Analysis 133(1): 168-223.
    PUB | DOI | WoS
     
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    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): 817-840.
    PUB | DOI | WoS
     
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    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628636
    Bogachev VI, Röckner M (1995)
    Mehler formula and capacities for inifinite dimensional Ornstein-Uhlenbeck processes with General linear drift.
    Osaka Journal of Mathematics 32(2): 237-274.
    PUB | WoS
     
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    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): 10-20.
    PUB | DOI | WoS
     
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    1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641759
    Chen Z-Q, Ma Z-M, Röckner M (1994)
    Quasi-homeomorphisms of Dirichlet forms.
    Nagoya Mathematical Journal 136: 1-15.
    PUB | DOI | WoS
     
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    1992 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1648082
    Albeverio S, FUKUSHIMA M, Hansen W, MA ZM, Röckner M (1992)
    An invariance result for capacities on Wiener space.
    Journal of Functional Analysis 106(1): 35-49.
    PUB | DOI | WoS
     
  • [6]
    1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649910
    Albeverio S, FUKUSHIMA M, Hansen W, MA ZM, Röckner M (1991)
    CAPACITIES ON WIENER SPACE - TIGHTNESS AND INVARIANCE.
    Comptes Rendus de l'Academie des Sciences. Series I, Mathematics 312(12): 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): 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): 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): 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): 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): 153-177.
    PUB | DOI | WoS
     
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