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On the Solvability of the Dirichlet Problem for a Multidimensional Elliptic System in the Half-Space

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Abstract

The Dirichlet problem for a multidimensional elliptic system in the half-space is considered. With the help of the Fourier transform, the problem of the solvability of the problem is reduced to the study of a second-order partial differential equation.

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Correspondence to E. A. Golovko.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 183, Differential Equations and Optimal Control, 2020.

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Golovko, E.A. On the Solvability of the Dirichlet Problem for a Multidimensional Elliptic System in the Half-Space. J Math Sci 279, 635–643 (2024). https://doi.org/10.1007/s10958-024-07044-w

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  • DOI: https://doi.org/10.1007/s10958-024-07044-w

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