Bounds for blow-up time in a semilinear parabolic problem with viscoelastic term

被引：13
|
作者：
Tian, Shuying [1 ]
机构：
[1] Wuhan Univ Technol, Sch Sci, Dept Math, Wuhan 430070, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 74卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Parabolic equation; Viscoelastic term; Lower bounds for blow-up time; Upper bounds for blow-up time; NONEXISTENCE; EQUATIONS; THEOREMS; SYSTEM;
D O I：
10.1016/j.camwa.2017.05.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a semilinear parabolic equation with viscoelastic term u(t) - Delta u + integral(t)(0) g(t - s)Delta u(x, s)ds = |u|(p-2)u. By the means of differential inequality technique, we obtain a lower bound for blow-up time of the solution if blow-up occurs. At the same time, we establish a new blow-up criterion and give an upper bound for blow-up time of the solution under some conditions on p, g and u(0). (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：736 / 743
页数：8
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