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.
Submitted June 18, 2009. Published October 30, 2009.
Math Subject Classifications: 37L55, 60H15, 35B40.
Key Words: Stochastic Reaction-Diffusion equation; random attractor; asymptotic compactness; upper semicontinuity.
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| Bixiang Wang |
Department of Mathematics
New Mexico Institute of Mining and Technology
Socorro, NM 87801, USA
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