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.

引用

页码：291 / 309

页数：19

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