Pullback attractors for non-autonomous reaction–diffusion equations in Lp

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摘要

In this paper, by using a new priori estimate method, called asymptotic a priori estimate, we prove the existence of a pullback attractor for a non-autonomous reaction–diffusion equation in Lp(Ω) without restriction on the growth order of the nonlinear term and on the exponential growth of the external force.

论文关键词：Pullback attractor,Measure of noncompactness,Pullback ω–D-limit compact,Reaction–diffusion equations

论文评审过程：Available online 27 November 2008.

论文官网地址：https://doi.org/10.1016/j.amc.2008.10.065