On the existence and absence of global solutions of the first Darboux problem for nonlinear wave equations

被引:0
|
作者
G. K. Berikelashvili
O. M. Dzhokhadze
B. G. Midodashvili
S. S. Kharibegashvili
机构
[1] Mathematical Institute,
[2] Georgia Technical University,undefined
来源
Differential Equations | 2008年 / 44卷
关键词
Classical Solution; Global Solution; Nonlinear Wave Equation; Global Solvability; Unique Classical Solution;
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学科分类号
摘要
For the one-dimensional wave equation with a power-law nonlinearity, we consider the first Darboux problem, for which we study issues related to the existence and absence of local and global solutions.
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页码:374 / 389
页数:15
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