Elliptic and Parabolic Equations with Involution and Degeneration at Higher Derivatives Научная публикация
Журнал |
Mathematics
, E-ISSN: 2227-7390 |
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Вых. Данные | Год: 2022, Том: 10, Номер: 18, Номер статьи : 3325, Страниц : DOI: 10.3390/math10183325 | ||||
Ключевые слова | boundary value problem; degeneration; elliptic equation; existence; involution; parabolic equation; regular solution; uniqueness | ||||
Авторы |
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Организации |
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Информация о финансировании (1)
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Министерство науки и высшего образования РФ Математический центр в Академгородке |
075-15-2019-1613, 075-15-2022-281 |
Реферат:
We study the solvability in Sobolev spaces of boundary value problems for elliptic and parabolic equations with variable coefficients in the presence of an involution (involutive deviation) at higher derivatives, both in the nondegenerate and degenerate cases. For the problems under study, we prove the existence theorems as well as the uniqueness of regular solutions, i.e., those that have all weak derivatives in the equation. © 2022 by the authors.
Библиографическая ссылка:
Kozhanov A.I.
, Bzheumikhova O.I.
Elliptic and Parabolic Equations with Involution and Degeneration at Higher Derivatives
Mathematics. 2022. V.10. N18. 3325 . DOI: 10.3390/math10183325 WOS Scopus РИНЦ OpenAlex
Elliptic and Parabolic Equations with Involution and Degeneration at Higher Derivatives
Mathematics. 2022. V.10. N18. 3325 . DOI: 10.3390/math10183325 WOS Scopus РИНЦ OpenAlex
Идентификаторы БД:
Web of science: | WOS:000858659700001 |
Scopus: | 2-s2.0-85138611953 |
РИНЦ: | 56752556 |
OpenAlex: | W4296101116 |