Log-Harnack inequality for mild solutions of SPDEs with multiplicative noise

DOI10.1016/j.spa.2013.11.002zbMath1285.60065arXiv1210.6416OpenAlexW1977718003MaRDI QIDQ2637207

Feng-Yu Wang, Tu-Sheng Zhang

Publication date: 7 February 2014

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.6416

zbMATH Keywords

gradient estimatelog-Harnack inequalitysemi-linear stochastic partial differential equation

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (12)

Log-Harnack inequality for reflected SPDEs driven by multiplicative noises and its applications ⋮ Distribution dependent reflecting stochastic differential equations ⋮ Gradient estimates and applications for SDEs in Hilbert space with multiplicative noise and Dini continuous drift ⋮ Closability of quadratic forms associated to invariant probability measures of SPDEs ⋮ Harnack inequalities for SDEs driven by subordinate Brownian motions ⋮ Asymptotic log-Harnack inequality and ergodicity for 3D Leray-\(\alpha\) model with degenerate type noise ⋮ Well-posedness and regularity for distribution dependent SPDEs with singular drifts ⋮ Asymptotic log-Harnack inequality and applications for SPDE with degenerate multiplicative noise ⋮ Asymptotic couplings by reflection and applications for nonlinear monotone SPDEs ⋮ Asymptotic log-Harnack inequality and applications for stochastic 2D hydrodynamical-type systems with degenerate noise ⋮ Wang's Harnack inequalities for space-time white noises driven SPDEs with two reflecting walls and their applications ⋮ Ergodicity of 3D Leray-α model with fractional dissipation and degenerate stochastic forcing

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