Boundary Value Problems for Quasi-Hyperbolic Equations with Degeneration

被引：0

作者：

Kozhanov, A. I. ^{[1
,2
]}

Spiridonova, N. R. ^{[3
]}

机构：

[1] Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Novosibirsk 630090, Russia

[2] Acad Sci Republ Sakha Yakutia, Yakutsk 677007, Russia

[3] Ammosov North Eastern Fed Univ, Yakutsk 677000, Russia

来源：

MATHEMATICAL NOTES | 2022年 / 112卷 / 5-6期

关键词：

quasi-hyperbolic equation; degeneration; boundary value problem; regular solution; existence; uniqueness;

D O I：

10.1134/S0001434622110256

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper deals with the solvability analysis of boundary value problems for degenerate higher-order quasi-hyperbolic equations. The problems in question have the specific feature that the manifolds on which the equations characteristically degenerate are not freed from carrying boundary data. The aim of this paper is to prove the existence and uniqueness of regular solutions of the problems under study, that is, solutions all of whose generalized derivatives occurring in the corresponding equations exist as generalized derivatives in the sense of Sobolev.

引用

页码：911 / 921

页数：11

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