Blow-up phenomena for a pseudo-parabolic equation with variable exponents

被引：50

作者：

Di, Huafei ^{[1
]}

Shang, Yadong ^{[1
]}

Peng, Xiaoming ^{[1
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2017年 / 64卷

关键词：

Pseudo-parabolic equation; Blow up; Lower bound; Variable exponent; LOWER BOUNDS; TIME;

D O I：

10.1016/j.aml.2016.08.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a pseudo-parabolic equation with nonlinearities of variable exponent type u(t) - nu Delta u(t) - div(vertical bar del u vertical bar(m(x)-2)del u) = vertical bar u vertical bar(p(x)-2)u, in Omega x(0,T), associated with initial and Dirichlet boundary conditions. By means of a differential inequality technique, we obtain an upper bound for blow-up time if variable exponents p(.), m(.) and the initial data satisfy some conditions. Also, a lower bound for blow-up time is determined under some other conditions. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：67 / 73

页数：7

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