Bixiang Wang
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.
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 email: bwang@nmt.edu |
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