Michael Röckner
PEVZ-ID
307 Publikationen
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2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982418Albeverio, 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
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2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2965241Banas, 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 ComputationsPUB | DOI | WoS
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2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2962448Röckner, 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 ComputationsPUB | DOI | WoS
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2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960405Nendel, 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
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2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956999Majid, N. R.; Röckner, M. (2021): The structure of entrance laws for time-inhomogeneous Ornstein-Uhlenbeck processes with Levy noise in Hilbert spaces Infinite Dimensional Analysis, Quantum Probability and Related Topics,24:(02):2150011PUB | DOI | WoS
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2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2941889Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. (2020): On the Ambrosio-Figalli-Trevisan Superposition Principle for Probability Solutions to Fokker-Planck-Kolmogorov Equations JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONSPUB | DOI | WoS
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2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934350Herr, 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
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2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916113Barbu, 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
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2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907737Röckner, 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
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2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911801Barbu, V.; Da Prato, G.; Röckner, M. (2016): Transition Semigroup. In: Viorel Barbu; Giuseppe Da Prato; Michael Röckner (Hrsg.): Stochastic porous media equations. Cham: Springer Int Publishing AG. (Lecture Notes in Mathematics, 2163). S. 167-195.PUB | DOI | WoS
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2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911796Barbu, V.; Da Prato, G.; Röckner, M. (2016): Equations with Lipschitz Nonlinearities. In: Viorel Barbu; Giuseppe Da Prato; Michael Röckner (Hrsg.): Stochastic porous media equations. Cham: Springer . (Lecture Notes in Mathematics, 2163). S. 19-47.PUB | DOI | WoS
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2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905502Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. (2016): Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations Journal of Functional Analysis,271:(5): 1262-1300.PUB | DOI | WoS
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2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911797Barbu, V.; Da Prato, G.; Röckner, M. (2016): Equations with Maximal Monotone Nonlinearities. In: Viorel Barbu; Giuseppe Da Prato; Michael Röckner (Hrsg.): Stochastic porous media equations. Cham: Springer . (Lecture Notes in Mathematics, 2163). S. 49-93.PUB | DOI | WoS
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2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911798Barbu, V.; Da Prato, G.; Röckner, M. (2016): Variational Approach to Stochastic Porous Media Equations. In: Viorel Barbu; Giuseppe Da Prato; Michael Röckner (Hrsg.): Stochastic porous media equations. Cham: Springer Int Publishing AG. (Lecture Notes in Mathematics, 2163). S. 95-106.PUB | DOI | WoS
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2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911794Barbu, V.; Da Prato, G.; Röckner, M. (2016): Stochastic Porous Media Equations Introduction. In: Viorel Barbu; Giuseppe Da Prato; Michael Röckner (Hrsg.): Stochastic porous media equations. Cham: Springer Int Publishing AG. (Lecture Notes in Mathematics, 2163). S. 1-18.PUB | DOI | WoS
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2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911800Barbu, V.; Da Prato, G.; Röckner, M. (2016): The Stochastic Porous Media Equations in ℝ<sup>d</sup>. In: Viorel Barbu; Giuseppe Da Prato; Michael Röckner (Hrsg.): Stochastic porous media equations. Cham: Springer Int Publishing AG. (Lecture Notes in Mathematics, 2163). S. 133-165.PUB | DOI | WoS
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2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2911799Barbu, V.; Da Prato, G.; Röckner, M. (2016): L-1-Based Approach to Existence Theory for Stochastic Porous Media Equations. In: Viorel Barbu; Giuseppe Da Prato; Michael Röckner (Hrsg.): Stochastic porous media equations. Cham: Springer Int Publishing AG. (Lecture Notes in Mathematics, 2163). S. 107-131.PUB | DOI | WoS
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2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901228Bogachev, V. I.; Da Prato, G.; Röckner, M.; Shaposhnikov, S. V. (2015): An analytic approach to infinite-dimensional continuity and fokker-planck-kolmogorov equations Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze,14:(3): 983-1023.PUB | DOI | WoS
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2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677412Albeverio, S.; Röckner, M.; Yoshida, M. W. (2014): A homeomorphism relating path spaces of stochastic processes with values in R-Z respectively (S-1)(Z) Infinite Dimensional Analysis Quantum Probability and Related Topics,17:(1):1450002PUB | DOI | WoS
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2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2677363Röckner, 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
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2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1635704Bogachev, V. I.; Da Prato, G.; Röckner, M. (2009): Fokker-Planck equations and maximal dissipativity for Kolmogorov operators with time dependent singular drifts in Hilbert spaces Journal of Functional Analysis,256:(4): 1269-1298.PUB | DOI | WoS
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2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1592122Beznea, 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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2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794538Prévôt, C.; Röckner, M. (2007): Weak and Strong Solutions: the Yamada-Watanabe Theorem. In: Claudia Prévôt; Michael Röckner (Hrsg.): A Concise Course on Stochastic Partial Differential Equations. Berlin: Springer. (Lecture Notes in Mathematics, 1905). S. 121-132.PUB | WoS
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2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794526Prévôt, C.; Röckner, M. (2007): The Bochner Integral. In: Claudia Prévôt; Michael Röckner (Hrsg.): A Concise Course on Stochastic Partial Differential Equations. Berlin: Springer. (Lecture Notes in Mathematics, 1905). S. 105-108.PUB | WoS
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2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794520Prévôt, C.; Röckner, M. (2007): Stochastic Differential Equations in Finite Dimensions. In: Claudia Prévôt; Michael Röckner (Hrsg.): A Concise Course on Stochastic Partial Differential Equations. Berlin: Springer. (Lecture Notes in Mathematics, 1905). S. 43-54.PUB | DOI | WoS
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2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794532Prévôt, C.; Röckner, M. (2007): Pseudo Inverse of Linear Operators. In: Claudia Prévôt; Michael Röckner (Hrsg.): A Concise Course on Stochastic Partial Differential Equations. Berlin: Springer. (Lecture Notes in Mathematics, 1905). S. 115-117.PUB | WoS
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2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794529Prévôt, C.; Röckner, M. (2007): Nuclear and Hilbert-Schmidt Operators. In: Claudia Prévôt; Michael Röckner (Hrsg.): A Concise Course on Stochastic Partial Differential Equations. Berlin: Springer. (Lecture Notes in Mathematics, 1905). S. 109-113.PUB | WoS
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2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794535Prévôt, C.; Röckner, M. (2007): Some Tools from Real Martingale Theory. In: Claudia Prévôt; Michael Röckner (Hrsg.): A Concise Course on Stochastic Partial Differential Equations. Berlin: Springer. (Lecture Notes in Mathematics, 1905). S. 119-119.PUB | WoS
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2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794541Prévôt, C.; Röckner, M. (2007): Strong, Mild and Weak Solutions. In: Claudia Prévôt; Michael Röckner (Hrsg.): A Concise Course on Stochastic Partial Differential Equations. Berlin: Springer. (Lecture Notes in Mathematics, 1905). S. 133-136.PUB | WoS
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2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794514Prévôt, C.; Röckner, M. (2007): Motivation, Aims and Examples. In: Claudia Prévôt; Michael Röckner (Hrsg.): A Concise Course on Stochastic Partial Differential Equations. Berling: Springer. (Lecture Notes in Mathematics, 1905). S. 1-4.PUB | DOI | WoS
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2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794523Prévôt, C.; Röckner, M. (2007): A Class of Stochastic Differential Equations. In: Claudia Prévôt; Michael Röckner (Hrsg.): A Concise Course on Stochastic Partial Differential Equations. Berlin ; Heidelberg: Springer. (Lecture Notes in Mathematics, 1905). S. 55-103.PUB | DOI | WoS
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2007 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1794517Prévôt, C.; Röckner, M. (2007): The Stochastic Integral in General Hilbert Spaces (w.r.t. Brownian Motion). In: Claudia Prévôt; Michael Röckner (Hrsg.): A Concise Course on Stochastic Partial Differential Equations. Berlin ; Heidelberg: Springer. (Lecture Notes in Mathematics, 1905). S. 5-42.PUB | DOI | WoS
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2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1874564Röckner, 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: 1872394Bogachev, V. I.; Da Prato, G.; Röckner, M.; Sobol, Z. (2006): Gradient bounds for solutions of elliptic and parabolic equations. In: Giuseppe Da Prato; Luciano Tubaro (Hrsg.): Stochastic Differential Equations and Applications - VII. Boca Raton: Chapman & Hall/CRC. (Lecture notes in pure and applied mathematics, 245). S. 27-34.PUB | Download (ext.)
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2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1600893Da Prato, G.; Röckner, M.; Rozovskii, B. L.; Wang, F. - Y. (2006): Strong solutions of stochastic generalized porous media equations: Existence, uniqueness, and ergodicity Communications in Partial Differential Equations,31:(2): 277-291.PUB | DOI | WoS
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2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1872430Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. (2005): Global regularity and bounds for solutions of parabolic equations for probability measures SIAM Theory of Probability and its Applications,50:(4): 561-581.PUB | DOI | Download (ext.) | WoS
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2005 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1872422Ren, 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. S. 177-186.PUB | Download (ext.)
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2005 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1874572Röckner, M. (2005): PDE Approach to Invariant and Gibbs Measures with Applications. In: Herbert Heyer (Hrsg.): Infinite Dimensional Harmonic Analysis III. Hackensack, N.J: World Scientific. (Infinite dimensional harmonic analysis, 3). S. 351.PUB | Download (ext.)
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2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605081Cerrai, 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: 1874610Albeverio, S.; Röckner, M.; Pasurek, T.; Kondratiev, Y. (2005): Euclidean Gibbs Measures of Quantum Crystals: Existence, Uniqueness and A-Priori Estimates. In: Jean-Dominique Deuschel (Hrsg.): Interacting Stochastic Systems. Berlin: Springer. S. 29-54.PUB
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2004 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1877234Da Prato, G.; Röckner, M. (2004): Invariant Measures for a Stochastic Porous Medium Equation. In: Hiroshi Kunita; Shinzo Watanabe; Yoichiro Takahashi (Hrsg.): Stochastic Analysis and Related Topics. Tokyo: Mathematical Soc. of Japan. (Advanced studies in pure mathematics, 41). S. 13-29.PUB | DOI
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2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1611843Albeverio, S.; Kondratiev, Y.; Kozitsky, Y.; Röckner, M. (2003): Quantum stabilization in anharmonic crystals PHYSICAL REVIEW LETTERS,90:(17):170603PUB | DOI | WoS | PubMed | Europe PMC
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2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615560Bogachev, V. I.; Krylov, N. V.; 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
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2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617681Bogachev, 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
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2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615484Finkelshtein, D. L.; Kondratiev, Y.; Röckner, M.; Konstantinov, A. Y. (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
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1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620659Liskevich, 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: 1622749Albeverio, S.; Kondratiev, Y.; Röckner, M.; Tsikalenko, T. V. (1999): A-priori estimates and existence of Gibbs measures: a simplified proof COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE,328:(11): 1049-1054.PUB | DOI | WoS
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1998 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 1884927Röckner, M. (1998): Stochastic Analysis on Configuration Spaces: Basic Ideas and Recent Results. In: Jürgen Jost (Hrsg.): New Directions in Dirichlet Forms. Providence, RI: American Mathematical Society. (Studies in Advances Mathematics, ). S. 157-231.PUB
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1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1884916Liskevich, V. I.; 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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