Existence and uniqueness of invariant measures for stochastic reaction-diffusion equations in unbounded domains

Oleksandr Misiats, Oleksandr Stanzhytsyi, Nung Kwan Yip

In this paper we investigate the long-time behavior of stochastic reaction-diffusion equations of the type $du=(Au+f(u))dt+\sigma (u)dW(t)$, where $A$ is an elliptic operator, $f$…