The Cauchy-Darboux problem for the one-dimensional wave equation with power nonlinearity

被引:0
|
作者
S. S. Kharibegashvili
O. M. Dzhokhadze
机构
[1] Georgian Technical University,
[2] Ivane Javakhishvili Tbilisi State University,undefined
来源
Siberian Mathematical Journal | 2013年 / 54卷
关键词
wave equation; power nonlinearity; Cauchy-Darboux problem; existence and the absence of a global solution; local solvability;
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中图分类号
学科分类号
摘要
The questions are studied of existence and uniqueness of a global solution to the Cauchy-Darboux problem for the one-dimensional wave equation with power nonlinearity. Under consideration are the existence of local solutions and the absence of global solutions.
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页码:1120 / 1136
页数:16
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