Weak Pullback Mean Random Attractors for Stochastic Evolution Equations and Applications

Abstract

In this paper, we investigate the existence and uniqueness of weak pullback mean random attractors for abstract stochastic evolution equations with general diffusion terms in Bochner spaces. As applications, the existence and uniqueness of weak pullback mean random attractors for some stochastic models such as stochastic reaction-diffusion equations, the stochastic $p$-Laplace equation and stochastic porous media equations are established.