A Quasilinear Parabolic System with Nonlocal Sources and Weighted Nonlocal Boundary Conditions

被引：0
|
作者：
Cheng Yuan QU1
2. Geomathematics Key Laboratory of Sichuan Province
机构：
来源：
Journal of Mathematical Research with Applications | 2011年 / 05期
基金：
中国国家自然科学基金;
关键词：
quasilinear parabolic system; nonlocal boundary conditions; critical exponent; blow-up rate; weight functions;
D O I：
暂无
中图分类号：
O175.26 [抛物型方程];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the blow-up properties of a quasilinear reaction-diffusion system with nonlocal nonlinear sources and weighted nonlocal Dirichlet boundary conditions. The critical exponent is determined under various situations of the weight functions. It is observed that the boundary weight functions play an important role in determining the blow-up conditions. In addition, the blow-up rate estimate of non-global solutions for a class of weight functions is also obtained, which is found to be independent of nonlinear diffusion parameters m and n.
引用
收藏
页码：761 / 769
页数：9
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