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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive
Sib. Zh. Ind. Mat., 2018 Volume 21, Number 4, Pages 3–14 (Mi sjim1017)
This article is cited in 1 paper

Solvability conditions for the second boundary value problem for the Navier system

L. N. Bondar

Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia

Abstract: Under consideration is the second boundary value problem in a half-space for the Navier system.We provide some necessary conditions for unique solvability in Sobolev spaces.

Keywords: elliptic system, boundary value problem, Navier system, solvability, Sobolev space, necessary conditions.

UDC: 517.956.223

Received: 29.06.2018

DOI: 10.17377/sibjim.2018.21.401


 English version: Journal of Applied and Industrial Mathematics, 2018, 12:4, 595–606

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© Steklov Math. Inst. of RAS, 2024