Log-Harnack inequality for stochastic Burgers equations and applications

F.Y. Wang, J.L. Wu, L. Xu

Research output: Contribution to journalArticleAcademicpeer-review

18 Citations (Scopus)

Abstract

By proving an L^2-gradient estimate for the corresponding Galerkin approximations, the log-Harnack inequality is established for the semigroup associated to a class of stochastic Burgers equations. As applications, we derive the strong Feller property of the semigroup, the irreducibility of the solution, the entropy-cost inequality for the adjoint semigroup, and entropy upper bounds of the transition density.
Original languageEnglish
Pages (from-to)151-159
JournalJournal of Mathematical Analysis and Applications
Volume384
Issue number1
DOIs
Publication statusPublished - 2011

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