Bounds for blow-up time in a semilinear pseudo-parabolic equation with nonlocal source

被引：13

作者：

Lu, Yang ^{[1
]}

Fei, Liang ^{[2
]}

机构：

[1] Northwest Univ, Dept Math, Xian 710069, Peoples R China

[2] Xi An Univ Sci & Technol, Dept Math, Xian 710054, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年

关键词：

lower bound; blow up; upper bound; ASYMPTOTIC-BEHAVIOR; EXISTENCE;

D O I：

10.1186/s13660-016-1171-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the following semilinear pseudo-parabolic equation with a nonlocal source: u(t) - Delta u(t) - Delta u = u(p)(x, t) integral(Omega) k(x,y)u(p+1)(y,t) dy, and it explores the characters of blow-up time for solutions, obtaining a lower bound as well as an upper bound for the blow-up time under different conditions, respectively. Also, we investigate a nonblow-up criterion and compute an exact exponential decay.

引用

页数：11

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