Upper Semicontinuity of Random Attractors for Non-compact Random Dynamical Systems

Details Upper Semicontinuity of Random Attractors for Non-compact Random Dynamical Systems Upper Semicontinuity of Random Attractors for Non-compact Random Dynamical Systems

2009-06-18

arxiv.org/abs/0906.3536v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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