Email this article On Necessary Conditions for the Solvability of One Class of Elliptic Systems in a Half-Space
- Authors: Bondar’ L.N.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 13, No 3 (2019)
- Pages: 390-404
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213211
- DOI: https://doi.org/10.1134/S1990478919030025
- ID: 213211
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Abstract
We consider boundary value problems in a half-space for a class of elliptic systems. Assuming that the boundary value problems satisfy the Lopatinskiı˘ condition, we give necessary conditions for the unique solvability in Sobolev spaces.
About the authors
L. N. Bondar’
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: b_lina@ngs.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
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