QUASI–ELLIPTIC EQUATIONS WITH DEGENERATION Научная публикация
Журнал |
Математические заметки СВФУ (Mathematical Notes of NEFU)
ISSN: 2411-9326 , E-ISSN: 2587-876X |
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Вых. Данные | Год: 2021, Том: 28, Номер: 4, Страницы: 48-57 Страниц : 10 DOI: 10.25587/SVFU.2021.18.43.004 | ||||||
Ключевые слова | Boundary value problem; Degeneration; Existence; Quasi-elliptic equations; Regular solution; Uniqueness | ||||||
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Организации |
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Реферат:
We study the solvability of boundary value problems for some classes of de-generate quasi-elliptic equations. The main feature of the problems under study is that, despite the degeneration, boundary conditions should still be imposed on the boundary manifolds. We prove the existence and uniqueness theorems for the regular solutions, those having all generalized Sobolev derivatives required in the equation in the inner subdomains. Moreover, we describe some possible enhancements and generalizations of the obtained results. © 2021 A. I. Kozhanov and G. A. Varlamova.
Библиографическая ссылка:
Kozhanov A.I.
, Varlamova G.A.
QUASI–ELLIPTIC EQUATIONS WITH DEGENERATION
Математические заметки СВФУ (Mathematical Notes of NEFU). 2021. V.28. N4. P.48-57. DOI: 10.25587/SVFU.2021.18.43.004 Scopus OpenAlex
QUASI–ELLIPTIC EQUATIONS WITH DEGENERATION
Математические заметки СВФУ (Mathematical Notes of NEFU). 2021. V.28. N4. P.48-57. DOI: 10.25587/SVFU.2021.18.43.004 Scopus OpenAlex
Идентификаторы БД:
Scopus: | 2-s2.0-85126454220 |
OpenAlex: | W4210699337 |
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