Electron. J. Diff. Eqns., Vol. 2009(2009), No. 09, pp. 1-9.

Exponential attractors for a nonclassical diffusion equation

Yong-Feng Liu, Qiaozhen Ma

Abstract:
In this article, we prove the existence of exponential attractors for a nonclassical diffusion equation in ${H^{2}(\Omega)}\cap{H}^{1}_{0}(\Omega)$ when the space dimension is less than 4.

Submitted October 22, 2008. Published January 9, 2009.
Math Subject Classifications: 35B41, 35Q35.
Key Words: Nonclassical diffusion equation; exponential attractors.

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Yong-Feng Liu
College of Mathematics and Information Science
Northwest Normal University
Lanzhou, Gansu, 730070, China
email: liuyongfeng1982@126.com
Qiaozhen Ma
College of Mathematics and Information Science
Northwest Normal University
Lanzhou, Gansu, 730070, China
email: maqzh@nwnu.edu.cn

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