On the solvability of a boundary value problem for nonlinear wave equations in angular domains

On the solvability of a boundary value problem for nonlinear wave equations in angular domains
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角域非线性波动方程边值问题的可解性

DOI:
10.1134/s0012266116050104
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发表时间:
2016
影响因子:
0.6
通讯作者:
O. Jokhadze
O. Jokhadze
中科院分区:
数学4区
文献类型:
--
作者:
S. Kharibegashvili;O. Jokhadze

文献摘要

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研究了一维弱非线性波动方程角域上的Darboux边值问题,分析了整体解的存在唯一性和局部解的存在性以及整体解的缺失性.
For a one-dimensional wave equation with a weak nonlinearity, we study the Darboux boundary value problem in angular domains, for which we analyze the existence and uniqueness of a global solution and the existence of local solutions as well as the absence of global solutions.