Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 09, pp. 1-9.

Title: Exponential attractors for a nonclassical diffusion equation
   
Authors: Yong-Feng Liu (Northwest Normal Univ., Lanzhou, Gansu, China)
         Qiaozhen Ma   (Northwest Normal Univ., Lanzhou, Gansu, China)

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 09, 2009.
Math Subject Classifications: 35B41, 35Q35.
Key Words: Nonclassical diffusion equation; exponential attractors.