The first Darboux problem for wave equations with a nonlinear positive source term

被引：9
作者：
Jokhadze, O. [1 ]
Midodashvili, B. [1 ]
机构：
[1] A Razmadze Math Inst, GE-0193 Tbilisi, Georgia
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 09期
基金：
美国国家科学基金会;
关键词：
Nonlinear wave equations; The first Darboux problem; Global and local solvability; Blow-up;
D O I：
10.1016/j.na.2007.08.068
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the first Darboux problem for nonlinear wave equations with positive power nonlinearity source term. Depending on the power of nonlinearity we investigate the problem on a global existence and blow-up of solutions of the first Darboux problem. The question of local solvability of the problem is also considered. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3005 / 3015
页数：11
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