Upper Semicontinuity of Random Attractors for Non-compact Random Dynamical Systems
Analysis of PDEs
2009-06-22 v1 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.
Cite
@article{arxiv.0906.3536,
title = {Upper Semicontinuity of Random Attractors for Non-compact Random Dynamical Systems},
author = {Bixiang Wang},
journal= {arXiv preprint arXiv:0906.3536},
year = {2009}
}