Boundary Value Problems
Volume 2009 (2009), Article ID 516390, 14 pages
doi:10.1155/2009/516390
Blowup analysis for a semilinear parabolic system with nonlocal boundary condition
Yulan Wang1
and Zhaoyin Xiang2
1School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039, China
2School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, China
Abstract
This paper deals with the properties of positive solutions to a semilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal boundary. And then we establish the precise blowup rate estimate for small weighted nonlocal boundary.