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Prof. Dr. Michael Röckner


Contact-Details:
eMail: roeckner@math.uni-bielefeld.de

Announced and most recent visits:

Arrival Departure Home Projects
06.12.201718.12.20176 Gaststudenten von Herrn Röckner, Namen wurden der Geschäftsstelle bisher nicht mitgeteilt

Recent Preprints

05009 Large Deviations for Stochastic Generalized Porous Media Equations PDF
05010 Elliptic Equations for Measures: Regularity and Global Bounds of Densities PDF
05011 Global regularity and bounds for solutions of parabolic equations for probability measures PDF
05015 Equilibrium Glauber and Kawasaki dynamics of continuous particle systems PDF
05023 A remark on sets in infinite dimensional spaces with full or zero capacity PDF
06005 Stochastic Generalized Porous Media and Fast Diffusion Equations PDF
06010 On parabolic equations for measures PDF
06012 Markov processes associated with $L^p$-resolvents and applications to stochastic differential equations on Hilbert space PDF
06013 Essential self-adjointness of Dirichlet operators on a path space with Gibbs measures via an SPDE approach PDF
06024 Dissipative stochastic equations in Hilbert space with time dependent coefficients PDF
06028 Estimates of Densities of stationary distributions and transition probabilities of diffusion processes PDF
06037 Kusuoka-Stroock formula on configuration space and regularities of local times with jumps PDF
06061 Existence and uniqueness of nonnegative solutions to the stochastic porous media equation PDF
06068 Markov processes associated with $L^p$-resolvents, applications to quasi-regular Dirichlet forms and stochastic differential equations PDF
06069 Concentration of invariant measures for stochastic generalized porous media equations PDF
06070 Uniqueness of solutions to weak parabolic equations for measures PDF
06072 Quasi-regular topologies for $L^p$-resolvents and semi-Dirichlet forms PDF
07003 A new approach to Kolmogorov equations in infinite dimensions and applications to the stochastic 2D Navier Stokes equation PDF
07004 Stochastic evolution equations of jump type: existence, uniqueness and large deviation principles PDF
07021 Tamed 3D Navier-Stokes equation: existence, uniqueness and regularity PDF
07023 Existence of strong solutions for stochastic porous media equation under general monotonicity conditions PDF
07034 A remark on the generator of a right-continuous Markov process PDF
07062 Compact excessive functions and Markov processes: a general case and applications PDF
07071 Stochastic porous media equations and self-organized criticality PDF
07072 Self-organized criticality via stochastic partial differential equations PDF
07083 Yamada-Watanabe Theorem for stochastic evolution equations in infinite dimensions PDF
07087 Non-Monotone Stochastic Generalized Porous Media Equations PDF
07088 Parabolic equations for measures on infinite-dimensional spaces PDF
07089 Infinite dimensional Kolmogorov operators with time dependent drift coefficients PDF
07090 Positive densities of transition probabilities of diffusion processes PDF
08019 Some results on stochastic porous media equations PDF
08020 Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity PDF
08023 Stochastic nonlinear diffusion equations with singular diffusivity PDF
08034 Fokker-Planck equations and maximal dissipativity for Kolmogorov operators with time dependent singular drifts in Hilbert spaces PDF
08035 Probabilistic representation for solutions of an irregular porous media type equation. PDF
08041 Martingale solutions and Markov selections for stochastic partial differential equations PDF
08064 Erratum: Singular dissipative stochastic equations in Hilbert spaces PDF
08076 Regular dependence on initial data for stochastic evolution equations with multiplicative Poisson noise PDF
08083 Finite time extinction for solutions to fast diffusion stochastic porous media equations PDF
08109 Singular Stochastic Equations on Hilbert Spaces: Harnack Inequalities for their Transition Semigroups PDF
08128 Existence results for Fokker--Planck equations in Hilbert spaces PDF
09017 Large deviations for stochastic tamed 3D Navier-Stokes equations PDF
09019 Gibbs measures of continuous systems: An analytic approach PDF
09028 A note on variational solutions to SPDE perturbed by Gaussian noise in a general class PDF
09029 Lower estimates of densities of solutions of elliptic equations for measures PDF
09040 Existence and uniqueness of solutions for Fokker–Planck equations on Hilbert spaces PDF
09041 Well-posedness and asymptotic behavior for stochastic reaction-difussion equations with multiplicative poisson noise PDF
09049 Probabilistic representation for solutions of an irregular porous media type equation: the degenerate case PDF
09050 Harnack Inequalities and Applications for Ornstein-Uhlenbeck Semigroups with Jump PDF
09053 Nonlinear evolution and transport equations for measures PDF
09054 Nonlinear evolution and transport equations for measures on infinite dimensional spaces PDF
09074 Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities PDF
09080 Log-Harnack Inequality for Stochastic Differential Equations in Hilbert Spaces and its Consequences PDF
10006 On uniqueness of mild solutions for dissipative stochastic evolution equations PDF
10009 The global random attractor for a class of stochastic porous media equations PDF
10011 Stochastic 3D tamed Navier Stokes equations: existence, uniqueness and small time large deviation principles PDF
10016 Weak uniqueness of Fokker-Planck equations with degenerate and bounded coefficients PDF
10027 Uniqueness for solutions of Fokker–Planck equations on infinite dimensional spaces PDF
10031 Dimension-independent Harnack inequalities for subordinated semigroups PDF
10035 SPDE in Hilbert Space with Locally Monotone Coefficients PDF
10038 Regularity Analysis for Stochastic Partial Differential Equations with Nonlinear Multiplicative Trace Class Noise PDF
10042 BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert space PDF
10047 Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a space with exponential interactions PDF
10058 Potential theory of infinite dimensional Levy processes PDF
10066 Elliptic and parabolic equations for measures PDF
10072 The stochastic reflection problem on an infinite dimensional convex set and BV functions in a Gelfand triple PDF
10076 Time inhomogeneous generalized Mehler semigroups and skew convolution equations PDF
10077 Cores for generators of some Markov semigroups PDF
10079 Random attractors for a class of stochastic partial differential equations driven by general additive noise PDF
10084 On a random scaled porous media equation PDF
11009 A Milstein scheme for SPDEs PDF
11021 Stochastic porous media equations and self-organized criticality: convergence to the critical state in all dimensions PDF
11054 From resolvents to càdlàg processes through compact excessive functions and applications to singular SDE on Hilbert spaces PDF
11075 On uniqueness problems related to elliptic equations for measures PDF
11077 Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise PDF
11078 Localization of solutions to stochastic porous media equations: finite speed of propagation PDF
11082 On uniqueness problems related to the Fokker–Planck–Kolmogorov equation for measures PDF
11094 General Extinction Results for Stochastic Partial Differential Equations and Applications PDF
11115 Strong uniqueness for stochastic evolution equations in Hilbert spaces with bounded measurable drift PDF
11128 Phase transitions and quantum effects in anharmonic crystals PDF
12009 Addendum to : “ Stochastic nonlinear diffusion equations with singular diffusivity ” PDF
12026 Well posedness of Fokker–Planck equations for generators of time-inhomogeneous Markovian transition probabilities PDF
12031 Local and global well-posedness of SPDE with generalized coercivity conditions PDF
12038 Sub- and supercritical stochastic quasi-geostrophic equation PDF
12076 Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise PDF
12080 Gibbs states over the cone of discrete measures PDF
12081 Large deviation principles for the stochastic quasi-geostrophic equation PDF
12083 A note on stochastic semilinear equations and their associated Fokker-Planck equations PDF
12084 On parabolic inequalities for generators of diffusions with jumps PDF
12085 On uniqueness of solutions to the Cauchy problem for degenerate Fokker–Planck–Kolmogorov equations PDF
12089 BV functions in a Gelfand triple for differentiable measure and its applications PDF
12098 Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on fractals PDF
12100 The finite speed of propagation for solutions to nonlinear stochastic wave equations driven by multiplicative noise PDF
12120 A mild Itô formula for SPDEs PDF
12124 Stochastic quasi-geostrophic equation PDF
12131 Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities PDF
12141 Non-autonomous mild solutions for SPDE with Levy noise in weighted $L^p$-spaces PDF
13033 Stochastic Generalized Porous Media Equations with Reflection PDF
13035 On continuity equations in infinite dimensions with non-Gaussian reference measure PDF
13039 Stochastic nonlinear Schrödinger equations with linear multiplicative noise: the rescaling approach PDF
13045 An analytic approach to infinite-dimensional continuity and Fokker-Planck-Kolmogorov equations PDF
13046 Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift PDF
13048 Fokker-Planck equations for SPDE with non-trace class noise PDF
13054 Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise PDF
13058 On maximal inequalities for purely discontinuous martingales in infinite dimensions PDF
13059 On the maximal inequalities of Burkholder, Davis and Gundy PDF
14003 The Stochastic Porous Media Equations in $\mathbb R^d$ PDF
14004 On the existence of the dual right Markov process and applications PDF
14016 An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise PDF
14022 Quasi regular Dirichlet forms and the stochastic quantization problem PDF
14023 Stochastic Nonlinear Schrödinger Equations PDF
14024 Strong uniqueness for SDEs in Hilbert spaces with non-regular drift PDF
14027 Doubly probabilistic representation for the stochastic porous media type equation PDF
14032 Stochastic variational inequalities and regularity for degenerate stochastic partial differential equations PDF
14042 Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions PDF
14044 Stochastic nonlinear Schrödinger equations: no blow-up in the non-conservative case PDF
14049 Backward uniqueness of stochastic parabolic like equations driven by Gaussian multiplicative noise PDF
14075 On the uniqueness of solutions to continuity equations PDF
15001 Singular-degenerate multivalued stochastic fast diffusion equations PDF
15021 Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations PDF
15028 The structure of entrance laws for time-inhomogeneous Ornstein-Uhlenbeck Processes with Lévy Noise in Hilbert spaces PDF
15044 The stochastic logarithmic Schroedinger equation PDF
15046 Uniqueness for a class stochastic Fokker-Planck and porous media equations PDF
16004 Restricted Markov uniqueness for the stochastic quantization of $P(\Phi)_2$ and its applications PDF
16015 The total variation flow perturbed by gradient linear multiplicative noise PDF
16017 Stochastic Porous Media Equation on General Measure Spaces with Increasing Lipschitz Nonlinearties PDF
16025 Closability of Quadratic Forms Associated to Invariant Probability Measures of SPDEs PDF
16027 Global solutions to random 3D vorticity equations for small initial data PDF
16034 Ergodicity for the stochastic quantization problems on the 2D-torus PDF
16040 A splitting algorithm for stochastic partial differential equations driven by linear multiplicative noise PDF
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