Boundary Value Problems 
Volume 2007 (2007), Article ID 75258, 7 pages
doi:10.1155/2007/75258
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

Recommended by Gary M. Lieberman

Abstract

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.