Upper semicontinuity of random attractors for non-compact random dynamical systems

Abstract

The upper semicontinuity of random attractors for non-compact random dynamical systems is proved when the union of all perturbed random attractors is precompact with probability one. This result is applied to the stochastic Reaction-Diffusion with white noise defined on the entire space R^n.

Keywords

• Stochastic Reaction-Diffusion equation
• random attractor
• asymptotic compactness
• upper semicontinuity