Existence and uniqueness of invariant measures for a class of transition semigroups on Hilbert spaces

DOI10.1016/j.jmaa.2008.12.031zbMath1170.47029OpenAlexW1991645574MaRDI QIDQ1018135

Abdelhadi Es-Sarhir

Publication date: 13 May 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.12.031

zbMATH Keywords

stochastic differential equationsinvariant measurestrong Feller property

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Probability theory on linear topological spaces (60B11)

Related Items (5)

Regularizing properties of (non-Gaussian) transition semigroups in Hilbert spaces ⋮ An ergodic decomposition defined by regular jointly measurable Markov semigroups on Polish spaces ⋮ Improved moment estimates for invariant measures of semilinear diffusions in Hilbert spaces and applications ⋮ Maximal dissipativity of Kolmogorov operators with Cahn--Hilliard type drift term ⋮ Unnamed Item

Cites Work

• On invariant measures for diffusions on Banach spaces
• Existence, uniqueness and invariant measures for stochastic semilinear equations on Hilbert spaces
• Strong Feller property and irreducibility for diffusions on Hilbert spaces
• One-Parameter Semigroups for Linear Evolution Equations
• On probability distributions of solutions of semilinear stochastic evolution equations
• Strong feller property for stochastic semilinear equations
• Ergodicity for Infinite Dimensional Systems
• Stochastic Equations in Infinite Dimensions
• On a Class of Stochastic Semilinear PDEs
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