Uniform Exponential Ergodicity of Stochastic Dissipative Systems

DOI10.1023/A:1013712812513zbMath1001.60067arXivmath/0111143MaRDI QIDQ3151359

Beniamin Goldys, Bohdan Maslowski

Publication date: 15 October 2002

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111143

zbMATH Keywords

spectral gapcompact semigroupdissipative systemexponential ergodicity

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Ergodic theorems, spectral theory, Markov operators (37A30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Markov processes (60J99)

Related Items

Lower estimates of transition densities and bounds on exponential ergodicity for stochastic PDEs ⋮ Existence and uniqueness of invariant measures for stochastic reaction-diffusion equations in unbounded domains ⋮ Invariant measures for stochastic reaction–diffusion equations with weakly dissipative nonlinearities ⋮ Invariant measures for monotone SPDEs with multiplicative noise term ⋮ Asymptotic analysis and homogenization of invariant measures ⋮ The Ornstein-Uhlenbeck bridge and applications to Markov semigroups ⋮ Improved moment estimates for invariant measures of semilinear diffusions in Hilbert spaces and applications ⋮ Modulation equations: Stochastic bifurcation in large domains

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