Existence and non-existence of global solutions for a class of non-linear wave equations

被引：2

作者：

Chen, GW ^{[1
]}

Yang, ZJ

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China

[2] Zhengzhou Univ Technol, Dept Math & Mech, Zhengzhou 450002, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2000年 / 23卷 / 07期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the existence and the non-existence of global solutions to the initial boundary value problems for the non-linear wave equation u(tt) + u(xxxx) = sigma(u(x))(x) + f(x, t) and the Boussinesq;type equation u(tt) + u(xxxx) = sigma(u)(xx) +f(x, t). The paper proves that every above-mentioned problem has a unique global solution under rather mild confining conditions, and arrives at some sufficient conditions of blow-up of the solutions in finite time. Finally, a few examples are given. Copyright (C) 2000 John Wiley & Sons, Ltd.

引用

页码：615 / 631

页数：17

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