首页|Global existence and blow-up of solutions to reaction-diffusion system with a weighted nonlocal source

Global existence and blow-up of solutions to reaction-diffusion system with a weighted nonlocal source

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In this paper,we study a semi-linear reaction-diffusion system with a weighted nonlocal source,subject to the null Dirichlet boundary condition.Under certain conditions,we prove that the classical solution exists globally and blows up in finite time respectively,and then obtain the uniform blow-up rate in the interior.

reaction-diffusion systemnonlocal sourceuniform blow-up profileweight functionsimultaneous blow-up

JIANG Liang-jun、WANG Yue-sheng

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College of Mathematics and Information Technology, Nanjing Xiaozhuang University, Nanjing 211171, P. R. China

Shanghai University Press, Shanghai University, Shanghai 200444, P. R. China

Project supported by the Research Program of Natural Science of Universities in Jiangsu Provinceand the Natural Science Foundation of Nanjing Xiaozhuang University

09KJD110008005NXY11

2011

10.1007/s11741-011-0775-1

上海大学学报(英文版)
上海大学

上海大学学报(英文版)

影响因子：0.196
ISSN：1007-6417
年,卷(期)：2011.15(6)
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