Harnack inequalities for a class of semilinear stochastic partial differential equations

Rangrang Zhang

Published 2018-07-11Version 1

In this article, we study a class of semilinear stochastic partial differential equations driven by an additive noise. We establish Harnack inequalities for the semigroup associated with the solution by using coupling method, which implies the strong Feller property. The main results can be applied to SPDEs of various types such as stochastic heat equation and Fokker-Planck equation perturbed by space-time white noise.