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Open Access Research Article

A Quasilinear Parabolic System with Nonlocal Boundary Condition

Botao Chen1, Yongsheng Mi12 and Chunlai Mu2*

Author Affiliations

1 College of Mathematics and Computer Sciences, Yangtze Normal University, Fuling, Chongqing 408100, China

2 College of Mathematics and Physics, Chongqing University, Chongqing 401331, China

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Boundary Value Problems 2011, 2011:750769  doi:10.1155/2011/750769

Published: 18 August 2010

Abstract

We investigate the blow-up properties of the positive solutions to a quasilinear 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 blow-up rate estimate. These extend the resent results of Wang et al. (2009), which considered the special case , and Wang et al. (2007), which studied the single equation.