Log-Harnack Inequality for Stochastic Burgers Equations and Applications
Probability
2010-09-30 v1
Abstract
By proving an -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.
Keywords
Cite
@article{arxiv.1009.5948,
title = {Log-Harnack Inequality for Stochastic Burgers Equations and Applications},
author = {Feng-Yu Wang and Jiang-Lun Wu and Lihu Xu},
journal= {arXiv preprint arXiv:1009.5948},
year = {2010}
}