This article is cited in 2 papers

Necessary conditions for the solvability of one class of boundary value problems for quasielliptic systems

L. N. Bondar'<sup>ab

a</sup> Sobolev Institute of Mathematics, Novosibirsk, 630090 Russia
^b Novosibirsk State University, Novosibirsk, 630090 Russia

Abstract: We consider boundary value problems in a half-space for a class of quasielliptic systems with nonzero boundary functions.We assume that the boundary value problems satisfy the Lopatinskiĭ condition. Necessary conditions are given for their unique solvability in Sobolev spaces. In a particular case, these conditions coincide with sufficient conditions.

Key words: quasielliptic system, boundary value problem, Lopatinskiĭ condition, Sobolev space, solvability condition.

UDC: 517.956.223

Received: 26.05.2017

DOI: 10.17377/mattrudy.2018.21.101

 English version: Siberian Advances in Mathematics, 2019, 29:1, 22–31

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