Boundary Value Problems
Volume 2007 (2007), Article ID 75258, 7 pages
doi:10.1155/2007/75258
Simultaneous versus nonsimultaneous blowup for a system of heat equations coupled boundary flux
Mingshu Fan1
and Lili Du2
1Department of Mathematics, Jincheng College of Sichuan University, Chengdu 611731, China
2Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China
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.