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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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摘要 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. 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.
作者 蒋良军 王悦生
机构地区 College of Mathematics and Information Technology Shanghai University Press Shanghai University
出处 《Journal of Shanghai University(English Edition)》 CAS 2011年第6期501-505,共5页 上海大学学报（英文版）
基金 Project supported by the Research Program of Natural Science of Universities in Jiangsu Province (Grant No.09KJD110008) the Natural Science Foundation of Nanjing Xiaozhuang University (Grant No.005NXY11)
关键词 reaction-diffusion system nonlocal source uniform blow-up profile weight function simultaneous blow-up reaction-diffusion system nonlocal source uniform blow-up profile weight function simultaneous blow-up
分类号 O175 [理学—基础数学]
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Journal of Shanghai University(English Edition)
2011年 第6期

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