A modified log-Harnack inequality and asymptotically strong Feller property

DOI10.1007/s00028-011-0117-zzbMath1270.60085arXiv1102.1162OpenAlexW2022740033MaRDI QIDQ409217

Lihu Xu

Publication date: 12 April 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1162

zbMATH Keywords

asymptotic Feller propertymodified log-Harnack inequalityWang type Harnack inequality

Mathematics Subject Classification ID

Diffusion processes (60J60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (10)

Stochastic functional differential equations with infinite delay under non-Lipschitz coefficients: existence and uniqueness, Markov property, ergodicity, and asymptotic log-Harnack inequality ⋮ Log-Harnack inequality for mild solutions of SPDEs with multiplicative noise ⋮ Ergodicity of stochastic Cahn-Hilliard equations with logarithmic potentials driven by degenerate or nondegenerate noises ⋮ Asymptotic log-Harnack inequality and ergodicity for 3D Leray-\(\alpha\) model with degenerate type noise ⋮ Asymptotic log-Harnack inequality and applications for SPDE with degenerate multiplicative noise ⋮ Asymptotic log-Harnack inequality and applications for stochastic systems of infinite memory ⋮ Asymptotic log-Harnack inequality and applications for stochastic 2D hydrodynamical-type systems with degenerate noise ⋮ Well-posedness and exponential mixing for stochastic magneto-hydrodynamic equations with fractional dissipations ⋮ Ergodicity of 3D Leray-α model with fractional dissipation and degenerate stochastic forcing ⋮ Asymptotic log-Harnack inequality for stochastic fractional MHD equations with degenerate noise

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