Blow-up and global existence for the non-local reaction diffusion problem with time dependent coefficient

被引：6

作者：

Ahmed, Iftikhar ^{[1
]}

Mu, Chunlai ^{[1
]}

Zheng, Pan ^{[1
]}

Zhang, Fuchen ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2013年

关键词：

blow-up; global existence; non-local reaction diffusion problem; Dirichlet boundary condition; POSITIVE SOLUTIONS; LOWER BOUNDS; EQUATION;

D O I：

10.1186/1687-2770-2013-239

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Blow-up and global existence for the non-local reaction diffusion problem with time dependent coefficient under the Dirichlet boundary condition are investigated. We derive the conditions on the data of problem (1.1) sufficient to guarantee that blow-up will occur, and obtain an upper bound for t*. Also we give the condition for global existence of the solution.

引用

页数：6

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