On the solvability of one multidimensional version of the first Darboux problem for some nonlinear wave equations

被引：8

作者：

Kharibegashvili, S. ^{[1
]}

机构：

[1] Georgian Acad Sci, A Razmadze Math Inst, Tbilisi, Georgia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 04期

关键词：

nonlinear wave equations; a multidimensional version of the first Darboux problem; global solvability of the problem; blow-up of solutions;

D O I：

10.1016/j.na.2006.11.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, for wave equations with power nonlinearity we investigate the problem of the existence or nonexistence of global solutions of a Multidimensional version of the first Darboux problem in the conic domain. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：912 / 924

页数：13

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