Blow-up of solutions to semilinear wave equations with variable coefficients and boundary

被引：61
|
作者：
Zhou, Yi [1 ,2 ,3 ]
Han, Wei [1 ,4 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2] Nonlinear Math Modeling & Methods Lab, Shanghai 200433, Peoples R China
[3] Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China
[4] N Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 374卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Semilinear wave equation; Critical exponent; Initial-boundary value problem; Blow-up; GLOBAL EXISTENCE;
D O I：
10.1016/j.jmaa.2010.08.052
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to studying initial-boundary value problems for semilinear wave equations and derivative semilinear wave equations with variable coefficients on exterior domain with subcritical exponents in n space dimensions. We will establish blow-up results for the initial-boundary value problems. It is proved that there can be no global solutions no matter how small the initial data are, and also we give the life span estimate of solutions for the problems. (C) 2010 Elsevier Inc. All rights reserved.
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页码：585 / 601
页数：17
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