Life-span of classical solutions to one dimensional initial-boundary value problems for general quasilinear wave equations

被引：5
|
作者：
Han, Wei [1 ]
机构：
[1] N Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 387卷 / 01期
基金：
中国国家自然科学基金;
关键词：
General quasi linear wave equations; Life-span; Initial-boundary value problem; BLOW-UP; NONEXISTENCE;
D O I：
10.1016/j.jmaa.2011.08.071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to studying the initial-boundary value problem for one dimensional general quasilinear wave equations u(tt) - u(xx) = b(u, Du)u(xx) + 2a(0)(u, Du)u(tx) + F(u, Du) on exterior domain. We obtain the sharp lower bound of the life-span of classical solutions to the initial-boundary value problem with small initial data and zero boundary data for one dimensional general quasilinear wave equations. (C) 2011 Elsevier Inc. All rights reserved.
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页码：291 / 309
页数：19
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