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

页码：3005 / 3015

页数：11

共 17 条

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Bitsadze A. V., 1981, Some Classes of Partial Differential Equations

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