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Sibirskii Zhurnal Industrial'noi Matematiki, 2019, Volume 22, Number 3, Pages 8–23
DOI: https://doi.org/10.33048/sibjim.2019.22.302 (Mi sjim1050) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On necessary conditions for the solvability of one class of elliptic systems in a half-space

L. N. Bondar'ab

a Novosibirsk State University, ul. Pirogova 1, 630090 Novosibirsk
b Sobolev Institute of Mathematics SB RAS, pr. Akad. Koptyuga 4, 630090 Novosibirsk
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DOI: https://doi.org/10.33048/sibjim.2019.22.302
Abstract: We consider boundary value problems in a half-space for a class of elliptic systems. Assuming that the boundary value problems satisfy the Lopatinskiĭ condition, we give necessary conditions for the unique solvability in Sobolev spaces.
Keywords: elliptic system, boundary value problem, Lopatinskiĭ condition, Sobolev space, solvability condition.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP05132041
Received: 24.05.2019
Revised: 24.05.2019
Accepted: 13.06.2019
English version:
Journal of Applied and Industrial Mathematics, 2019, Volume 13, Issue 3, Pages 390–404
DOI: https://doi.org/10.1134/S1990478919030025
Bibliographic databases:
Document Type: Article
UDC: 517.956.223
Language: Russian
Citation: L. N. Bondar', “On necessary conditions for the solvability of one class of elliptic systems in a half-space”, Sib. Zh. Ind. Mat., 22:3 (2019), 8–23; J. Appl. Industr. Math., 13:3 (2019), 390–404
Citation in format AMSBIB
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\by L.~N.~Bondar'
\paper On necessary conditions for the solvability of one class of elliptic systems in a half-space
\jour Sib. Zh. Ind. Mat.
\yr 2019
\vol 22
\issue 3
\pages 8--23
\mathnet{http://mi.mathnet.ru/sjim1050}
\crossref{https://doi.org/10.33048/sibjim.2019.22.302
}
\elib{https://elibrary.ru/item.asp?id=41642198}
\transl
\jour J. Appl. Industr. Math.
\yr 2019
\vol 13
\issue 3
\pages 390--404
\crossref{https://doi.org/10.1134/S1990478919030025}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85071493963}
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  • https://www.mathnet.ru/eng/sjim1050
  • https://www.mathnet.ru/eng/sjim/v22/i3/p8
    • This publication is cited in the following 1 articles:
    1. L. N. Bondar', G. V. Demidenko, “On solvability of one class of quasielliptic systems”, Siberian Math. J., 61:6 (2020), 963–982  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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