Regularity of invariant measures for a class of perturbed Ornstein-Uhlenbeck operators

DOI10.1007/BF01195918zbMath0852.60071OpenAlexW2004303356MaRDI QIDQ1914384

Giuseppe Da Prato, Michael Roeckner, Vladimir I. Bogachev

Publication date: 2 December 1996

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195918

zbMATH Keywords

Sobolev spaceFréchet derivativeLipschitz continuousgeneralized invariant measure

Mathematics Subject Classification ID

Related Items (9)

Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups ⋮ Ornstein-Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities ⋮ Existence of densities for the 3D Navier-Stokes equations driven by Gaussian noise ⋮ Logarithmic derivatives of invariant measure for stochastic differential equations in hilbert spaces ⋮ A natural extension of Markov processes and applications to singular SDEs ⋮ Absolutely continuous solutions for continuity equations in Hilbert spaces ⋮ INTEGRATION BY PARTS AND SMOOTHNESS OF THE LAW FOR A CLASS OF STOCHASTIC EVOLUTION EQUATIONS ⋮ Differentiable measures and the Malliavin calculus ⋮ SOBOLEV REGULARITY OF INVARIANT MEASURES FOR GENERALIZED ORNSTEIN–UHLENBECK OPERATORS

Cites Work

• Existence of invariant measures of diffusions on an abstract Wiener space
• Classical Dirichlet forms on topological vector spaces --- closability and a Cameron-Martin formula
• Regular densities of invariant measures in Hilbert spaces
• Regularity of invariant measures on finite and infinite dimensional spaces and applications
• Stochastic Equations in Infinite Dimensions
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