Boundary Value Problems
Volume 2007 (2007), Article ID 75258, 7 pages
Research Article

Simultaneous versus Nonsimultaneous Blowup for a System of Heat Equations Coupled Boundary Flux

Mingshu Fan1 and Lili Du2,3

1Department of Mathematics, Jincheng College of Sichuan University, Chengdu 611731, China
2Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China
3School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China

Received 5 November 2006; Revised 18 January 2007; Accepted 23 March 2007

Academic Editor: Gary M. Lieberman

Copyright © 2007 Mingshu Fan and Lili Du. 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.


This paper deals with a semilinear parabolic system in a bounded interval, completely coupled at the boundary with exponential type. We characterize completely the range of parameters for which nonsimultaneous and simultaneous blowup occur.