Open Access Research Article

Blowup Analysis for a Semilinear Parabolic System with Nonlocal Boundary Condition

Yulan Wang1 and Zhaoyin Xiang2*

Author Affiliations

1 School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039, China

2 School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, China

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Boundary Value Problems 2009, 2009:516390  doi:10.1155/2009/516390

Published: 22 November 2009

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.