Ergodic behaviour of stochastic parabolic equations

DOI10.1023/A:1022821729545zbMath0935.60041OpenAlexW1527720107MaRDI QIDQ4700035

Jan Seidler

Publication date: 18 November 1999

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

Full work available at URL: https://eudml.org/doc/30364

zbMATH Keywords

Markov processesinvariant measuresrecurrence

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Transition functions, generators and resolvents (60J35)

Related Items (21)

Stability of transition semigroups and applications to parabolic equations ⋮ Lower estimates of transition densities and bounds on exponential ergodicity for stochastic PDEs ⋮ Equivalence of laws and null controllability for SPDEs driven by a fractional Brownian motion ⋮ Mean ergodic theorems on norming dual pairs ⋮ Irreducibility of the 3-D stochastic Navier-Stokes equation ⋮ Ergodicity of the 2-D Navier-Stokes equation under random perturbations ⋮ Harnack inequality and applications for stochastic evolution equations with monotone drifts ⋮ Ergodicity of transition semigroups for stochastic fast diffusion equations ⋮ A Tauberian theorem for strong Feller semigroups ⋮ A new proof of Doob's theorem ⋮ Random attractors for the stochastic Navier-Stokes equations on the 2D unit sphere ⋮ Stochastic differential equations in fluid dynamics ⋮ Long-time behaviour of nonautonomous SPDE's. ⋮ A coupling approach to Doob's theorem ⋮ Elliptic operators on \(\mathbb{R}^d\) with unbounded coefficients ⋮ On the stochastic \(p\)-Laplace equation ⋮ Stochastic Navier-Stokes equations: Analysis of the noise to have a unique invariant measure ⋮ Ruelle-Pollicott resonances of stochastic systems in reduced state space. Part I: Theory ⋮ On the lattice structure of kernel operators ⋮ Ergodic control of semilinear stochastic equations and the Hamilton-Jacobi equation ⋮ Uniform Exponential Ergodicity of Stochastic Dissipative Systems

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