ON A NONLOCAL STOCHASTIC KURAMOTO–SIVASHINSKY EQUATION WITH JUMPS.

In this paper, we study a class of nonlocal stochastic Kuramoto–Sivashinsky equations driven by compensated Poisson random measures and show the existence and uniqueness of the weak solution to the equation. Furthermore, we prove that an invariant measure of the equation indeed exists under some appropriate assumptions. [ABSTRACT FROM AUTHOR]