Boundary Value Problems
Volume 2009 (2009), Article ID 516390, 14 pages
doi:10.1155/2009/516390
Research Article

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

Received 23 July 2009; Accepted 26 October 2009

Academic Editor: Gary Lieberman

Copyright © 2009 Yulan Wang and Zhaoyin Xiang. 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.

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.