Section: New Results
An integral inequality for the invariant measure of a stochastic reaction-diffusion equation
In [46] , we consider a reaction-diffusion equation perturbed by noise (not necessarily white). We prove an integral inequality for the invariant measure of a stochastic reaction-diffusion equation. Then we discuss some consequences as an integration by parts formula which extends to a basic identity of the Malliavin Calculus. Finally, we prove the existence of a surface measure for a ball and a half-space of .