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Matematicheskie Trudy, 2018, Volume 21, Number 1, Pages 3–16
DOI: https://doi.org/10.17377/mattrudy.2018.21.101 (Mi mt329) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Necessary conditions for the solvability of one class of boundary value problems for quasielliptic systems

L. N. Bondar'ab

a Sobolev Institute of Mathematics, Novosibirsk, 630090 Russia
b Novosibirsk State University, Novosibirsk, 630090 Russia
Full-text PDF (206 kB) Citations (2)
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DOI: https://doi.org/10.17377/mattrudy.2018.21.101
Abstract: We consider boundary value problems in a half-space for a class of quasielliptic systems with nonzero boundary functions.We assume that the boundary value problems satisfy the Lopatinskiĭ condition. Necessary conditions are given for their unique solvability in Sobolev spaces. In a particular case, these conditions coincide with sufficient conditions.
Key words: quasielliptic system, boundary value problem, Lopatinskiĭ condition, Sobolev space, solvability condition.
Received: 26.05.2017
English version:
Siberian Advances in Mathematics, 2019, Volume 29, Issue 1, Pages 22–31
DOI: https://doi.org/10.3103/S1055134419010024
Bibliographic databases:
Document Type: Article
UDC: 517.956.223
Language: Russian
Citation: L. N. Bondar', “Necessary conditions for the solvability of one class of boundary value problems for quasielliptic systems”, Mat. Tr., 21:1 (2018), 3–16; Siberian Adv. Math., 29:1 (2019), 22–31
Citation in format AMSBIB
\Bibitem{Bon18}
\by L.~N.~Bondar'
\paper Necessary conditions for the solvability of one class of boundary value problems for quasielliptic systems
\jour Mat. Tr.
\yr 2018
\vol 21
\issue 1
\pages 3--16
\mathnet{http://mi.mathnet.ru/mt329}
\crossref{https://doi.org/10.17377/mattrudy.2018.21.101}
\elib{https://elibrary.ru/item.asp?id=34878262}
\transl
\jour Siberian Adv. Math.
\yr 2019
\vol 29
\issue 1
\pages 22--31
\crossref{https://doi.org/10.3103/S1055134419010024}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85064736206}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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