ON ONE BOUNDARY VALUE PROBLEM FOR A NONLINEAR EQUATION WITH THE ITERATED WAVE OPERATOR IN THE PRINCIPAL PART

被引：0
|
作者：
Kharibegashvili, Sergo [1 ,2 ]
Midodashvili, Bidzina [3 ]
机构：
[1] A Razmadze Math Inst, GE-0193 Tbilisi, Georgia
[2] I Javakhishvili Tbilisi State Univ, GE-0143 Tbilisi, Georgia
[3] A Razmadze Math Inst, GE-0193 Tbilisi, Georgia
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2008年 / 15卷 / 03期
关键词：
Boundary value problem; hyperbolic equations with power nonlinearity; nonexistence;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
One boundary value problem for a hyperbolic equation with power nonlinearity and the iterated wave operator in the principal part is considered in a conical domain. Depending on the index of nonlinearity and spatial dimensionality of the equation the question on the existence and uniqueness of a solution of a boundary value problem is investigated. The question as to the absence of a solution of this problem is also considered.
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页码：541 / 554
页数：14
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