Second Darboux problem for the wave equation with a power-law nonlinearity

被引：5

作者：

Kharibegashvili, S. S. ^{[1
]}

Dzhokhadze, O. M.

机构：

[1] Georgia Tech Univ, Tbilisi, Georgia

来源：

DIFFERENTIAL EQUATIONS | 2013年 / 49卷 / 12期

关键词：

CAUCHY-GOURSAT PROBLEM;

D O I：

10.1134/S0012266113120124

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the one-dimensional wave equation with a power-law nonlinearity, we consider the second Darboux problem and study the existence and uniqueness of a global solution, the existence of local solutions, and the absence of global solutions.

引用

页码：1577 / 1595

页数：19

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