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Prof. Dr. Michael Röckner


Contact-Details:
eMail: ed.dlefeleib-inu.htam renkceor


Recent Preprints

25015 Nonlinear Fokker–Planck equations as smooth Hilbertian gradient flows PDF
25002 The superposition principle for solutions to Fokker-Planck-Kolmogorov equations with potential terms PDF
25001 Asymptotic behaviour of solutions to Fokker-Planck-Kolmogorov equations PDF
24127 Distribution-flow dependent SDEs driven by (fractional) Brownian motion and Navier-Stokes equations PDF
24118 Construction of Hunt processes by the Lyapunov method and applications to generalized Mehler semigroups PDF
24093 The stochastic evolution of an infinite population with logistic-type interaction PDF
24077 The energy-critical stochastic zakharov system PDF
24075 $p$-Brownian motion and the $p$-Laplacian PDF
24043 Variational inequalities and smooth-fit principle for singular stochastic control problems in Hilbert spaces PDF
24035 Propagation of chaos for moderately interacting particle systems related to singular kinetic McKean-Vlasov SDEs PDF
24013 SVI solutions to stochastic nonlinear diffusion equations on general measure spaces PDF
23124 Cameron–Martin type theorem for a class of non-Gaussian measures PDF
23072 On the restriction of a right process outside a negligible set PDF
23070 Nonlinear Dirichlet forms associated with quasiregular mappings PDF
23068 Uniqueness of distributional solutions to the 2D vorticity Navier–Stokes equation and its associated nonlinear Markov process PDF
23064 Nonlocal, nonlinear Fokker–Planck equations and nonlinear martingale problems PDF
23055 Averaging principle and normal deviation for multi-scale SDEs with polynomial nonlinearity PDF
23039 Nonlinear Fokker--Planck--Kolmogorov equations as gradient flows on the space of probability measures PDF
23021 Kolmogorov problems on equations for stationary and transition probabilities of diffusion processes PDF
23016 Second order fractional mean-field SDEs with singular kernels and measure initial data PDF
23005 The three dimensional stochastic Zakharov system PDF
22092 On nonlinear Markov processes in the sense of McKean PDF
22073 Strong Feller semigroups and Markov processes: A counter example PDF
22070 Recent progress on multi-bubble blow-ups and multi-solitons to (stochastic) focusing nonlinear Schrödinger equations PDF
22069 Convergent numerical approximation of the stochastic total variation flow with linear multiplicative noise: The higher dimensional case PDF
22068 Strong and weak convergence for averaging principle of DDSDE with singular drift PDF
22066 Nonlinear Fokker-Planck equations with fractional Laplacian and McKean-Vlasov SDEs with Lévy-Noise PDF
22064 The ergodicity of nonlinear Fokker-Planck flows in $L^1(\mathbb{R}^d)$ PDF
22056 A Markov process for a continuum infinite particle system with attraction PDF
22055 Path continuity of Markov processes and locality of Kolmogorov operators PDF
22046 Strong convergence of propagation of chaos for McKean-Vlasov SDEs with singular interactions PDF
22044 Well-posedness of stochastic partial differential equations with fully local monotone coefficients PDF
22041 Erratum: "Convergent numerical approximation of the stochastic total variation flow" PDF
22039 Operator semigroups in the mixed topology and the infinitesimal description of Markov processes PDF
22030 Zvonkin's transform and the regularity of solutions to double divergence form elliptic equations PDF
22029 Averaging principle for stochastic complex Ginzburg-Landau equations PDF
22028 Uniqueness for nonlinear Fokker–Planck equations and for McKean–Vlasov SDEs: The degenerate case PDF
21068 Multi solitary waves to stochastic nonlinear Schrödinger equations PDF
21056 Nonlinear Fokker–Planck equations with time-dependent coefficients PDF
21055 Multi-bubble Bourgain-Wang solutions to nonlinear Schrödinger equations PDF
21054 Markov uniqueness and Fokker-Planck-Kolmogorov equations PDF
21045 Stochastic generalized porous media equations over $\sigma$-finite measure spaces with non-continuous diffusivity function PDF
21038 The invariance principle for nonlinear Fokker–Planck equations PDF
21029 A unified approach to gradient type formulas for BSDEs and some applications PDF
21028 SDEs with critical time dependent drifts: Strong solutions PDF
21012 Mean-field analysis of industry dynamics under financial constraints PDF
20138 Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus PDF
20109 SDEs with critical time dependent drifts: weak solutions PDF
20103 Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations PDF
20099 Asymptotic behaviour of multiscale stochastic partial differential equations with Hölder coefficients PDF
20090 Euler Scheme for Density Dependent Stochastic Differential Equations PDF
20049 Solutions for nonlinear Fokker-Planck equations with measures as initial data and McKean-Vlasov equations PDF
20044 Averaging principle and normal deviations for multiscale stochastic systems PDF
20020 Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations PDF
19106 Optimal control of nonlinear stochastic differential equations on Hilbert spaces PDF
19103 A Markov process for an infinite interacting particle system in the continuum PDF
19096 Superposition principle for non-local Fokker-Planck-Kolmogorov operators PDF
19074 Diffusion Approximation for Fully Coupled Stochastic Differential Equations PDF
19070 Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs PDF
19067 Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations PDF
19061 Strong and weak convergence in the averaging principle for SDEs with Hölder coefficients PDF
19035 Schauder Theorems for a class of (pseudo-)differential operators on finite and infinite dimensional state spaces PDF
19033 Convergent numerical approximation of the stochastic total variation flow PDF
19030 Upper envelopes of families of Feller semigroups and viscosity solutions to a class of nonlinear Cauchy problems PDF
19028 Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients PDF
19027 On convergence to stationary distributions for solutions of nonlinear Fokker–Planck–Kolmogorov equations PDF
19023 Strong averaging principle for slow-fast stochastic partial differential equations with locally monotone coefficients PDF
19021 A natural extension of Markov processes and applications to singular SDEs PDF
19020 Linearization of Nonlinear Fokker-Planck Equations and Applications PDF
19016 Global solutions for random vorticity equations perturbed by gradient dependent noise, in two and three dimensions PDF
19014 On a Class of Infinite-Dimensional Singular Stochastic Control Problems PDF
19012 The evolution to equilibrium of solutions to nonlinear Fokker-Planck equation PDF
19006 On the Ambrosio–Figalli–Trevisan superposition principle for probability solutions to Fokker–Planck–Kolmogorov equations PDF
18053 From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE PDF
18050 Well-posedness of distribution dependent SDEs with singular drifts PDF
18048 Conservative stochastic 2-dimensional Cahn-Hilliard equation PDF
18023 The Poisson equation and estimates for distances between stationary distributions of diffusions PDF
18022 A remark on global solutions to random 3D vorticity equations for small initial data PDF
18014 Scattering for Stochastic Nonlinear Schrödinger Equations PDF
18008 Continuity equation in LlogL for the 2D Euler equations under the enstrophy measure PDF
18007 Variational solutions to nonlinear stochastic differential equations in Hilbert spaces PDF
18006 Probabilistic representation for solutions to nonlinear Fokker-Planck equations PDF
18002 Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms PDF
18001 Ornstein-Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities PDF
17027 Convergence in variation of solutions of nonlinear Fokker–Planck–Kolmogorov equations to stationary measures PDF
17024 Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives PDF
17023 Nonlinear Fokker-Planck equations driven by Gaussian linear multiplicative noise PDF
17017 Nonlinear Fokker-Planck equations for Probability Measures on Path Space and Path-Distribution Dependent SDEs PDF
17010 Absolutely continuous solutions for continuity equations in Hilbert spaces PDF
17009 Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise PDF
17007 Stochastic Heat Equations with Values in a Riemannian Manifold PDF
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