Well-Posedness of the Generalized Samarskii–Ionkin Problem for Elliptic Equations in a Cylindrical Domain Full article
| Journal |
Differential Equations
ISSN: 0012-2661 , E-ISSN: 1608-3083 |
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| Output data | Year: 2023, Volume: 59, Number: 2, Pages: 230–242 Pages count : 13 DOI: 10.1134/S0012266123020076 | ||||
| Tags | Boundary-value problem; nonlocal problems | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования РФ | FSSE-2020-0005 |
Abstract:
We study the well-posedness of some analogs of the nonlocal Samarskii–Ionkin problem for second-order elliptic equations in Sobolev spaces. For the problems in question, existence and uniqueness theorems are proved for regular solutions, i.e., solutions that have all generalized Sobolev derivatives occurring in the corresponding equation. Some spectral problems for elliptic equations with the nonlocal Samarskii–Ionkin condition are studied.
Cite:
Kozhanov A.I.
, Dyuzheva A.V.
Well-Posedness of the Generalized Samarskii–Ionkin Problem for Elliptic Equations in a Cylindrical Domain
Differential Equations. 2023. V.59. N2. P.230–242. DOI: 10.1134/S0012266123020076 WOS Scopus РИНЦ OpenAlex
Well-Posedness of the Generalized Samarskii–Ionkin Problem for Elliptic Equations in a Cylindrical Domain
Differential Equations. 2023. V.59. N2. P.230–242. DOI: 10.1134/S0012266123020076 WOS Scopus РИНЦ OpenAlex
Original:
Кожанов А.И.
, Дюжева А.В.
Корректность обобщенной задачи Самарского-Ионкина для эллиптических уравнений в цилиндрической области
Дифференциальные уравнения. 2023. Т.59. №2. С.223-235. DOI: 10.31857/S0374064123020085 РИНЦ OpenAlex
Корректность обобщенной задачи Самарского-Ионкина для эллиптических уравнений в цилиндрической области
Дифференциальные уравнения. 2023. Т.59. №2. С.223-235. DOI: 10.31857/S0374064123020085 РИНЦ OpenAlex
Dates:
| Submitted: | Jul 13, 2022 |
| Accepted: | Jan 20, 2023 |
| Published print: | May 12, 2023 |
| Published online: | May 12, 2023 |
Identifiers:
| Web of science: | WOS:000988284500007 |
| Scopus: | 2-s2.0-85159961610 |
| Elibrary: | 61517072 |
| OpenAlex: | W4376481136 |