Exponential mixing for SPDEs driven by highly degenerate Lévy noises

Abstract

By a coupling method, we prove that a family of stochastic partial differential equations (SPDEs) driven by highly degenerate pure jump Lévy noises are exponential mixing. These pure jump Lévy noises include $\alpha$-stable process with $\alpha \in (0,2)$

References in corpus (2)

• Exponential Ergodicity of stochastic Burgers equations driven by $\alpha$-stable processes
• Exponential mixing for SDEs forced by degenerate Levy noises