Log-Harnack inequality for stochastic Burgers equations and applications

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

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17 Citaten (Scopus)

Samenvatting

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.
Originele taal-2Engels
Pagina's (van-tot)151-159
TijdschriftJournal of Mathematical Analysis and Applications
Volume384
Nummer van het tijdschrift1
DOI's
StatusGepubliceerd - 2011

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