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.

References in corpus (1)

• Asymptotic Behavior of Stochastic Wave Equations with Critical Exponents on R^3

Cited by in corpus (3)

• Existence and Upper Semicontinuity of Attractors for Stochastic Equations with Deterministic Non-autonomous Terms
• Random dynamics of two-dimensional stochastic second grade fluids
• Existence and upper semicontinuity of random pullback attractors for 2D and 3D non-autonomous stochastic convective Brinkman-Forchheimer equations on whole domain