Journal of Applied Mathematics
Volume 2013 (2013), Article ID 389863, 6 pages
Research Article

Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions

Department of Mathematics, Zhengzhou University, Zhengzhou, Henan 450001, China

Received 24 December 2012; Accepted 2 February 2013

Academic Editor: Debasish Roy

Copyright © 2013 Zhao-hui Fan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We study exponential attractors for semilinear parabolic equations with dynamic boundary conditions in bounded domains. First, we give the existence of the exponential attractor in by proving that the corresponding semigroup satisfies the enhanced flattering property. Second, we apply asymptotic a priori estimate and obtain the exponential attractor in . Finally, we show the exponential attractor in .