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arXiv · 0903.5014

Pullback Attractors for Non-autonomous Reaction-Diffusion Equations on R^n

Bixiang Wang
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Abstract

We study the long time behavior of solutions of the non-autonomous Reaction-Diffusion equation defined on the entire space R^n when external terms are unbounded in a phase space. The existence of a pullback global attractor for the equation is established in L^2(R^n) and H^1(R^n), respectively. The pullback asymptotic compactness of solutions is proved by using uniform a priori estimates on the tails of solutions outside bounded domains.

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Bixiang Wang. 2009-03-29. Pullback Attractors for Non-autonomous Reaction-Diffusion Equations on R^n. https://arxiv.org/abs/0903.5014

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