Boundary value problems for quasi-hyperbolic equations with degeneration

Boundary value problems for quasi-hyperbolic equations with degeneration Full article

Journal

Mathematical Notes
ISSN: 0001-4346 , E-ISSN: 1573-8876

Output data

Year: 2022, Volume: 112, Number: 6, Pages: 911-921 Pages count : 11 DOI: 10.1134/S0001434622110256

Tags

quasi-hyperbolic equation, degeneration, boundary value problem, regular solution, existence, uniqueness, mathematics, general

Authors

Kozhanov A.I. ^1,2 , Spiridonova N.R. ³

Affiliations

1	Sobolev Institute ofMathematics
2	Academy of Sciences of the Republic of Sakha
3	Ammosov North-Eastern Federal University

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.

Kozhanov A.I. , Spiridonova N.R.
Boundary value problems for quasi-hyperbolic equations with degeneration
Mathematical Notes. 2022. V.112. N6. P.911-921. DOI: 10.1134/S0001434622110256 WOS Scopus РИНЦ OpenAlex

Кожанов А.И. , Спиридонова Н.Р.
Краевые задачи для квазигиперболических уравнений с вырождением
Математические заметки. 2022. Т.112. №6. С.825-838. DOI: 10.4213/mzm13523 РИНЦ MathNet OpenAlex

Submitted:	Jun 29, 2022
Accepted:	Jul 5, 2022
Published print:	Dec 30, 2022
Published online:	Dec 30, 2022

Web of science:	WOS:000922194000025
Scopus:	2-s2.0-85145105343
Elibrary:	58900202
OpenAlex:	W4313410174

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