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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2010, Volume 10, Issue 1, Pages 3–17 (Mi vngu27)  
This article is cited in 2 scientific papers (total in 2 papers)

Solvability of Boundary Value Problems for Quasielliptic Systems in Weighted Sobolev Spaces

L. N. Bondar

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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Abstract: In the paper we consider boundary value problems for a class of quasielliptic systems in a half-space. The boundary value problems be assumed to satisfy the Lopatinskii condition. We establish unique solvability of the boundary value problems in weighted Sobolev spaces. We obtain sufficient solvability conditions for the boundary value problems and give an example when these solvability conditions are necessary.
Keywords: quasielliptic system, boundary value problem, Lopatinskii condition, weighted Sobolev space, solvability condition.
Received: 27.03.2009
English version:
Journal of Mathematical Sciences, 2012, Volume 186, Issue 3, Pages 364–378
DOI: https://doi.org/10.1007/s10958-012-0991-0
Document Type: Article
UDC: 519.635.4
Language: Russian
Citation: L. N. Bondar, “Solvability of Boundary Value Problems for Quasielliptic Systems in Weighted Sobolev Spaces”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:1 (2010), 3–17; J. Math. Sci., 186:3 (2012), 364–378
Citation in format AMSBIB
\Bibitem{Bon10}
\by L.~N.~Bondar
\paper Solvability of Boundary Value Problems for Quasielliptic Systems in~Weighted Sobolev Spaces
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2010
\vol 10
\issue 1
\pages 3--17
\mathnet{http://mi.mathnet.ru/vngu27}
\transl
\jour J. Math. Sci.
\yr 2012
\vol 186
\issue 3
\pages 364--378
\crossref{https://doi.org/10.1007/s10958-012-0991-0}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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