Blow-up phenomena for a pseudo-parabolic equation

被引：63

作者：

Luo, Peng ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2015年 / 38卷 / 12期

关键词：

pseudo-parabolic equation; blow up; bounds for blow-up time; exponential decay; LOWER BOUNDS; PSEUDOPARABOLIC EQUATION; TIME; EXISTENCE;

D O I：

10.1002/mma.3253

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a semilinear pseudo- parabolic equation u(t) - Delta(u) - Delta u(t) = u(p). By the means of a differential inequality technique, we obtain a lower bound for blow-up time if p and the initial value satisfy some conditions. Also, we establish a blow-up criterion and an upper bound for blow-up time under some conditions as well as a nonblow-up and exponential decay under some other conditions. Copyright (c) 2014 John Wiley & Sons, Ltd.

引用

页码：2636 / 2641

页数：6

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