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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 8, Pages 1309–1315
DOI: https://doi.org/10.31857/S0044466923080161 (Mi zvmmf11600) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Partial Differential Equations

On some elliptic boundary value problems in conic domains

V. B. Vasilyev

Belgorod National Research University, 308015, Belgorod, Russia
Citations (1)
DOI: https://doi.org/10.31857/S0044466923080161
Abstract: A model elliptic pseudodifferential equation in a polyhedral cone is considered, and the situation when some of the parameters of the cone tend to their limiting values is investigated. In Sobolev–Slobodetskii spaces, a solution of the equation in the cone is constructed in the case of a special wave factorization of the elliptic symbol. It is shown that a limit solution of the boundary value problem with an additional integral condition can exist only under additional constraints on the boundary function.
Key words: pseudodifferential equation, elliptic symbol, cone, wave factorization, domain with cut.
Received: 09.02.2023
Revised: 25.03.2023
Accepted: 28.03.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 8, Pages 1437–1443
DOI: https://doi.org/10.1134/S096554252308016X
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: V. B. Vasilyev, “On some elliptic boundary value problems in conic domains”, Zh. Vychisl. Mat. Mat. Fiz., 63:8 (2023), 1309–1315; Comput. Math. Math. Phys., 63:8 (2023), 1437–1443
Citation in format AMSBIB
\Bibitem{Vas23}
\by V.~B.~Vasilyev
\paper On some elliptic boundary value problems in conic domains
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 8
\pages 1309--1315
\mathnet{http://mi.mathnet.ru/zvmmf11600}
\crossref{https://doi.org/10.31857/S0044466923080161}
\elib{https://elibrary.ru/item.asp?id=54270658}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 8
\pages 1437--1443
\crossref{https://doi.org/10.1134/S096554252308016X}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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