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BOUNDARY VALUE PROBLEMS WITH CONJUGATION CONDITIONS FOR QUASI-PARABOLIC EQUATIONS OF THE THIRD ORDER WITH A DISCONTINUOUS SIGN-VARIABLE COEFFICIENT Научная публикация

Журнал Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304
Вых. Данные Год: 2021, Том: 18, Номер: 1, Страницы: 599-616 Страниц : 18 DOI: 10.33048/semi.2021.18.043
Ключевые слова boundary value problems; conjugation conditions; discontinuous signvariable coefficient; existence; regular solutions; third order quasi-parabolic equations; uniqueness
Авторы Kozhanov A.I. 1 , Shadrina N.N. 2
Организации
1 Sobolev Institute of Mathematics, 4, KOPTYUGA AVE., Novosibirsk, 630090, Russian Federation
2 Buryat State University, 24a, Smolina str. Ulan-Ude, Buryatiya, 670000

Информация о финансировании (1)

1 Институт математики им. С.Л. Соболева СО РАН 0314-2019-0010

Реферат: The aim of this work is to study the solvability in Sobolev spaces of boundary value problems for third order differential equations with a discontinuous sign-variable coefficient at the highest derivative with respect to the time variable. Since the equation has a discontinuous leading coefficient, in addition to setting the boundary conditions it is also necessary to set some conjugation conditions. For the problems under study, existence and uniqueness theorems are proved for the class of regular solutions, i.e., for the solutions that have all Sobolev weak derivatives up to the third order in time variable and up to the second order in spatial variables. © 2021 Kozhanov A.I., Shadrina N.N. All Rights Reserved.
Библиографическая ссылка: Kozhanov A.I. , Shadrina N.N.
BOUNDARY VALUE PROBLEMS WITH CONJUGATION CONDITIONS FOR QUASI-PARABOLIC EQUATIONS OF THE THIRD ORDER WITH A DISCONTINUOUS SIGN-VARIABLE COEFFICIENT
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021. V.18. N1. P.599-616. DOI: 10.33048/semi.2021.18.043 WOS Scopus OpenAlex
Идентификаторы БД:
Web of science: WOS:000674354000001
Scopus: 2-s2.0-85108828968
OpenAlex: W3201059311
Цитирование в БД:
БД Цитирований
Scopus 2
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