Existence and uniqueness of invariant measures: An approach via sectorial forms

DOI10.1007/s002459911005zbMath0953.31003OpenAlexW1985598110MaRDI QIDQ1968772

Tu-Sheng Zhang, Vladimir I. Bogachev, Michael Roeckner

Publication date: 25 January 2001

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002459911005

zbMATH Keywords

invariant measurescompact embeddingssectorial formsdefective Log-Sobolev inequality

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) One-parameter semigroups and linear evolution equations (47D06) Dirichlet forms (31C25) Markov semigroups and applications to diffusion processes (47D07) Diffusion processes (60J60)

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Regularity and stability of invariant measures for diffusion processes under synthetic lower Ricci curvature bounds ⋮ The Radon transform in an infinite-dimensional space with Gaussian measure ⋮ Invariant measures for stochastic evolution equations in M-type 2 Banach spaces ⋮ Ergodicity of transition semigroups for stochastic fast diffusion equations ⋮ Regularity of solutions to Kolmogorov equations with perturbed drifts ⋮ Logarithmic derivatives of invariant measure for stochastic differential equations in hilbert spaces ⋮ Poincaré inequality for weighted first order Sobolev spaces on loop spaces ⋮ Invariant measures for stochastic evolution equations of pure jump type ⋮ A new approach to the existence of invariant measures for Markovian semigroups ⋮ INTEGRATION BY PARTS AND SMOOTHNESS OF THE LAW FOR A CLASS OF STOCHASTIC EVOLUTION EQUATIONS

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