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arxiv: 0906.3536 · v1 · submitted 2009-06-18 · 🧮 math.AP · math.DS

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

classification 🧮 math.AP math.DS
keywords randomattractorsdynamicalnon-compactsemicontinuitysystemsupperapplied
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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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