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ASYMPTOTIC BEHAVIOR OF SOLUTION FOR NONLOCAL REACTION-DIFFUSION SYSTEM
作者姓名:栗付才  陈有朋  谢春红
作者单位:Department of Mathematics,Nanjing University,Department of Mathematics,Nanjing University,Department of Mathematics,Nanjing University Nanjing 210093,China,Nanjing 210093,China,Nanjing 210093,China
摘    要:This paper deals with reaction-diffusion system with nonlocal source. It is proved that there exists a unique classical solution and the solution either exists globally or blows up in finite time. Furthermore, its blow-up set and asymptotic behavior are obtained provided that the solution blows up in finite time.


ASYMPTOTIC BEHAVIOR OF SOLUTION FOR NONLOCAL REACTION-DIFFUSION SYSTEM
Li Fucai Xie Chunhong.ASYMPTOTIC BEHAVIOR OF SOLUTION FOR NONLOCAL REACTION-DIFFUSION SYSTEM[J].Acta Mathematica Scientia,2003,23(2).
Authors:Li Fucai Xie Chunhong
Institution:Li Fucai Xie Chunhong Department of Mathematics,Nanjing University,Nanjing 210093,China
Abstract:This paper deals with reaction-diffusion system with nonlocal source. It is proved that there exists a unique classical solution and the solution either exists globally or blows up in finite time. Furthermore, its blow-up set and asymptotic behavior are obtained provided that the solution blows up in finite time.
Keywords:Nonlocal source  global existence  blow-up  blow-up set  asymptotic behavior of solution
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