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Prof. Dr. Michael Röckner


Recent Preprints

18002 Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms PDF
18008 Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure PDF
17024 Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives PDF
17009 Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise PDF
18023 The Poisson equation and estimates for distances between stationary distributions of diffusions PDF
17007 Stochastic Heat Equations with Values in a Riemannian Manifold PDF
18006 Probabilistic representation for solutions to nonlinear Fokker–Planck equations PDF
18048 Conservative stochastic 2-dimensional Cahn-Hilliard equation PDF
18050 Well-posedness of distribution dependent SDEs with singular drifts PDF
17017 Nonlinear Fokker–Planck equations for Probability Measures on Path Space and Path-Distribution Dependent SDEs PDF
19006 On the Ambrosio–Figalli–Trevisan superposition principle for probability solutions to Fokker–Planck–Kolmogorov equations PDF
19012 The evolution to equilibrium of solutions to nonlinear Fokker-Planck equation PDF
18001 Singular perturbations of Ornstein-Uhlenbeck processes: Integral estimates and Girsanov densities PDF
18007 Variational solutions to nonlinear stochastic differential equations in Hilbert spaces PDF
17023 Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise PDF
19014 On a Class of Infinite-Dimensional Singular Stochastic Control Problems PDF
19016 Global solutions for random vorticity equations perturbed by gradient dependent noise, in two and three dimensions PDF
18014 Scattering for Stochastic Nonlinear Schrödinger Equations PDF
19020 Ergodicity and Feynman-Kac Formula for Space-Distribution Valued Diffusion Processes PDF
19033 Convergent numerical approximation of the stochastic total variation flow PDF
19030 Upper envelopes of Feller semigroups and viscosity solutions to a class of nonlinear Cauchy problems PDF
19023 Strong averaging principle for slow-fast stochastic partial differential equations with locally monotone coefficients PDF
19035 Schauder Theorems for a class of (pseudo-)differential operators on finite and infinite dimensional state spaces PDF
19061 Strong and weak convergence in the averaging principle for SDEs with Hölder coefficients PDF
19067 Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations PDF
19021 A natural extension of Markov processes and applications to singular SDEs PDF
19027 On convergence to stationary distributions for solutions of nonlinear Fokker–Planck–Kolmogorov equations PDF
17010 Absolutely continuous solutions for continuity equations in Hilbert spaces PDF
17027 Convergence in variation of solutions of nonlinear Fokker–Planck–Kolmogorov equations to stationary measures PDF
18022 A remark on global solutions to random 3D vorticity equations for small initial data PDF
19070 Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs PDF
19028 Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients PDF
19074 Diffusion approximation for fully coupled stochastic dynamical systems PDF
18053 From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE PDF

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