Strong global attractors for nonclassical diffusion equation with fading memory

Strong global attractors for nonclassical diffusion equation with fading memory

Abstract Based on semigroup theory and the method of contractive function, we prove the existence of global attractors for a nonclassical diffusion equation with fading memory in the space H 2 ( Ω ) ∩ H 0 1 ( Ω ) × L μ 2 ( R + ; H 2 ( Ω ) ∩ H 0 1 ( Ω ) ) $H^{2}(\Omega)\cap H_{0}^{1}(\Omega) \times L...

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Bibliographic Details
Main Authors: Yubao Zhang, Xuan Wang, Chenghua Gao
Format: Article
Language:English
Published: SpringerOpen 2017-06-01
Series:Advances in Difference Equations
Subjects:
abstract evolution equation
memory kernel
global attractor
polynomial growth
Online Access:http://link.springer.com/article/10.1186/s13662-017-1222-2

Internet

http://link.springer.com/article/10.1186/s13662-017-1222-2

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