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.
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收藏
页码：67 / 73
页数：7
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