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Pseudo hyperbolic equations with degeneracy: existence and uniqueness of solutions Научная публикация

Журнал

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

Вых. Данные

Год: 2023, Том: 44, Номер: 8, Страницы: 3594-3603 Страниц : 10 DOI: 10.1134/S1995080223080553

Ключевые слова

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

Авторы

Varlamova G.A. ¹ , Kozhanov A.I. ^2,3

Организации

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

Поступила в редакцию:	15 мая 2023 г.
Принята к публикации:	30 июн. 2023 г.
Опубликована в печати:	23 авг. 2023 г.
Опубликована online:	27 нояб. 2023 г.

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

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