Upper Semicontinuity of Random Attractors for Non-compact Random Dynamical Systems
arXiv:0906.3536
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.