Existence and uniqueness of invariant measures for SPDEs with two reflecting walls

Juan Yang, Tusheng Zhang

Published 2012-03-30Version 1

In this article, we study stochastic partial differential equations with two reflecting walls, driven by space-time white noise with non-constant diffusion coefficients under periodic boundary conditions. The existence and uniqueness of invariant measures is established under appropriate conditions. The strong Feller property is also obtained.