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

页码：736 / 743

页数：8

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