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.

引用

页码：541 / 554

页数：14

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