Pseudo hyperbolic equations with degeneracy: existence and uniqueness of solutions

Pseudo hyperbolic equations with degeneracy: existence and uniqueness of solutions Full article

Journal

Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962

Output data

Year: 2023, Volume: 44, Number: 8, Pages: 3594-3603 Pages count : 10 DOI: 10.1134/S1995080223080553

Tags

degeneration, existence, initial boundary value problems, pseudohyperbolic equations, regular solutions, uniqueness

Authors

Varlamova G.A. ¹ , Kozhanov A.I. ^2,3

Affiliations

1	Ammosov North-Eastern Federal University, Mirny Polytechnic Institute
2	Sobolev Institute of Mathematics
3	Academy of Science of the Republic of Sakha (Yakutia)

The work is devoted to the study of the solvability of initial-boundary value problems for differential equations h(t)u_{tt}-\left(a\frac{\partial}{\partial t}+b\right)\Delta u+cu=f(x,t) (\Delta is the Laplace operator in space variables) with a non-negative function h(t) . Similar equations are called pseudohyperbolic equations in the literature. The aim of the work is to prove the existence and uniqueness of regular solutions of the problems under study—solutions that have all S.L. Sobolev derivatives included in the equation

Varlamova G.A. , Kozhanov A.I.
Pseudo hyperbolic equations with degeneracy: existence and uniqueness of solutions
Lobachevskii Journal of Mathematics. 2023. V.44. N8. P.3594-3603. DOI: 10.1134/S1995080223080553 WOS Scopus РИНЦ OpenAlex

Submitted:	May 15, 2023
Accepted:	Jun 30, 2023
Published print:	Aug 23, 2023
Published online:	Nov 27, 2023

Web of science:	WOS:001182292600055
Scopus:	2-s2.0-85178185993
Elibrary:	54913113
OpenAlex:	W4389074309

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