Blowup for degenerate and singular parabolic system with nonlocal source

被引:35
作者
Zhou, Jun [1 ]
Mu, Chunlai [1 ]
Li, Zhongping [1 ]
机构
[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
关键词
D O I
10.1155/BVP/2006/21830
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We deal with the blowup properties of the solution to the degenerate and singular parabolic system with nonlocal source and homogeneous Dirichlet boundary conditions. The existence of a unique classical nonnegative solution is established and the sufficient conditions for the solution that exists globally or blows up in finite time are obtained. Furthermore, under certain conditions it is proved that the blowup set of the solution is the whole domain.
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页数:19
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