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.
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Acknowledgments
The author is grateful to Professor G. V. Demidenko for posing the problem and paying attention to the research.
Funding
The author was partially supported by the Committee of Science of the Ministry of Education and Science of the Republic of Kazakhstan (project no. AP05132041).
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Russian Text © The Author(s), 2019, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2019, Vol. XXII, No. 3, pp. 8–23.
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Bondar’, L.N. On Necessary Conditions for the Solvability of One Class of Elliptic Systems in a Half-Space. J. Appl. Ind. Math. 13, 390–404 (2019). https://doi.org/10.1134/S1990478919030025
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DOI: https://doi.org/10.1134/S1990478919030025