Lower bounds for the blow-up time of the nonlinear non-local reaction diffusion problems in RN (N ≥ 3)

被引：12
|
作者：
Tang, Gusheng [1 ]
Li, Yuanfei
Yang, Xitao [1 ]
机构：
[1] Hunan Univ Sci & Technol, Dept Math, Xiangtan 411201, Hunan, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2014年
关键词：
blow-up; lower bounds; non-local reaction diffusion problem; PARABOLIC PROBLEMS; HEAT-EQUATION;
D O I：
10.1186/s13661-014-0265-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the blow-up of the solution to a non-local reaction diffusion problem in R-N for N >= 3 under nonlinear boundary conditions. Utilizing the technique of a differential inequality, lower bounds for the blow-up time are derived when the blow-up does occur under some suitable assumptions.
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收藏
页数：5
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