Uniform Attractors for Nonclassical Diffusion Equations with Memory

We introduce a new method (or technique), asymptotic contractive method, to verify uniform asymptotic compactness of a family of processes. After that, the existence and the structure of a compact uniform attractor for the nonautonomous nonclassical diffusion equation with fading memory are proved u...

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Bibliographic Details
Main Authors: Yongqin Xie, Yanan Li, Ye Zeng
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/5340489