L. N. Bondar', “On necessary conditions for the solvability of one class of elliptic systems in a half-space”, Sib. Zh. Ind. Mat., 2019, Volume 22, Number 3,Pages <nobr>8

This article is cited 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.

UDC: 517.956.223

Received: 24.05.2019
Revised: 24.05.2019
Accepted: 13.06.2019

DOI: 10.33048/sibjim.2019.22.302