Lower estimates of transition densities and bounds on exponential ergodicity for stochastic PDEs

DOI10.1214/009117905000000800zbMath1121.60066arXivmath/0402307OpenAlexW2019662530WikidataQ103922206 ScholiaQ103922206MaRDI QIDQ850975

Bohdan Maslowski, Beniamin Goldys

Publication date: 8 November 2006

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402307

zbMATH Keywords

spectral gapdensity estimates\(V\)-ergodicityOrnstein-Uhlenbeck bridgestochastic semilinear systemuniform exponential 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) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (15)

On the asymptotic behavior of an Ornstein-Uhlenbeck process with random forcing ⋮ On Stochastic Ergodic Control in Infinite Dimensions ⋮ Quantitative spectral gaps for hypoelliptic stochastic differential equations with small noise ⋮ Nonparametric calibration for stochastic reaction-diffusion equations based on discrete observations ⋮ Harnack inequality and applications for stochastic evolution equations with monotone drifts ⋮ Limit theorems for stationary Markov processes with \(L^{2}\)-spectral gap ⋮ SPDE bridges with observation noise and their spatial approximation ⋮ Ergodicity of transition semigroups for stochastic fast diffusion equations ⋮ Uniqueness of invariant measures of infinite dimensional stochastic differential equations driven by Lévy noises ⋮ The Ornstein-Uhlenbeck bridge and applications to Markov semigroups ⋮ Asymptotic and spectral properties of exponentially \(\phi\)-ergodic Markov processes ⋮ Subgeometric rates of convergence of \(f\)-ergodic strong Markov processes ⋮ Stationary solutions to the compressible Navier-Stokes system driven by stochastic forces ⋮ Exponential convergence of non-linear monotone SPDEs ⋮ Remarks on Stochastic Navier-Stokes Equations

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