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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
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.
Received: 24.05.2019 Revised: 24.05.2019 Accepted: 13.06.2019
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
Linking options:
https://www.mathnet.ru/eng/sjim1050 https://www.mathnet.ru/eng/sjim/v22/i3/p8
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Abstract page: | 227 | Full-text PDF : | 91 | References: | 26 | First page: | 9 |
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