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Sibirskii Zhurnal Industrial'noi Matematiki, 2013, Volume 16, Number 3, Pages 41–52 (Mi sjim791)  
Solvability of the second boundary value problem for one elliptic equation in a half-space

L. N. Bondar'ab

a Sobolev Institute of Mathematics SD RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk
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Abstract: We consider the second boundary value problem in a half-space for a biharmonic equation with a lower-order term. We prove theorems on the solvability of the problem in a Sobolev space.
Keywords: elliptic equation, boundary value problem, Sobolev space, solvability condition.
Received: 27.07.2013
English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 4, Pages 460–471
DOI: https://doi.org/10.1134/S1990478913040029
Bibliographic databases:
Document Type: Article
UDC: 517.956.223
Language: Russian
Citation: L. N. Bondar', “Solvability of the second boundary value problem for one elliptic equation in a half-space”, Sib. Zh. Ind. Mat., 16:3 (2013), 41–52; J. Appl. Industr. Math., 7:4 (2013), 460–471
Citation in format AMSBIB
\Bibitem{Bon13}
\by L.~N.~Bondar'
\paper Solvability of the second boundary value problem for one elliptic equation in a half-space
\jour Sib. Zh. Ind. Mat.
\yr 2013
\vol 16
\issue 3
\pages 41--52
\mathnet{http://mi.mathnet.ru/sjim791}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3234772}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 4
\pages 460--471
\crossref{https://doi.org/10.1134/S1990478913040029}
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