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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2012, Volume 9, Pages 618–638
(Mi semr386)
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This article is cited in 1 scientific paper (total in 1 paper)
Differentical equations, dynamical systems and optimal control
On solvability of one elliptic equation in a half-space
L. N. Bondar
Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
In the present paper we consider the Dirichlet problem for one elliptic equation with a parameter in a half-space. We establish solvability of the boundary value problem in the Sobolev space $W^{4l}_p$ under restrictions on $p$.
Keywords:
elliptic equation, boundary value problem, Sobolev space.
Received October 3, 2012, published December 7, 2012
Citation:
L. N. Bondar, “On solvability of one elliptic equation in a half-space”, Sib. Èlektron. Mat. Izv., 9 (2012), 618–638
Linking options:
https://www.mathnet.ru/eng/semr386 https://www.mathnet.ru/eng/semr/v9/p618
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| Abstract page: | 333 | | Full-text PDF : | 96 | | References: | 62 |
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