On One Boundary Value Problem for a Nonlinear Equation with the Iterated Wave Operator in the Principal Part-Reference-Cited by-同舟云学术

On One Boundary Value Problem for a Nonlinear Equation with the Iterated Wave Operator in the Principal Part

Published:2008-09 Issue:3 Volume:15 Page:541-554
ISSN:1572-9176
Container-title:gmj
language:en
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Author:

Kharibegashvili Sergo¹²,Midodashvili Bidzina³

Affiliation:

1. A. Razmadze Mathematical Institute, 1, M. Aleksidze St., Tbilisi 0193, Georgia

2. I. Javakhishvili Tbilisi State University, 2, University St., Tbilisi 0143, Georgia. E-mail:

3. A. Razmadze Mathematical Institute, 1, M. Aleksidze St., Tbilisi 0193, Georgia. E-mail:

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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