Finite time blow-up for a kind of initial-boundary value problem of semilinear damped wave equation

被引：12
|
作者：
Lai, Ningan [1 ]
Yin, Silu [2 ]
机构：
[1] Lishui Univ, Dept Math, Lishui 323000, Zhejiang, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 04期
关键词：
damped wave equations; blow up; exterior problem; Dirichlet boundary condition; CRITICAL EXPONENT; GLOBAL-SOLUTIONS; EXISTENCE; DECAY; NONEXISTENCE;
D O I：
10.1002/mma.4046
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the initial-boundary value problem of semilinear damped wave equation u(tt) - Delta u + u(t) = vertical bar u vertical bar(p) with power p = 1 + 2/p in an exterior domain. Blow-up result in a finite time will be established in higher dimensions (n >= 3), no matter how small the initial data are. A special test function will be constructed, and then, we obtain the blow-up result by a contradiction argument. Copyright (C) 2016 John Wiley & Sons, Ltd.
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页码：1223 / 1230
页数：8
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