Abstract
In this paper we study the Dirichlet problem in the half-space for regular hypoelliptic equations. Applying a special integral representation, we construct approximate solutions for this problem and thereby prove correct solvability of the problem.
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Russian Text © The Author(s), 2019, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Matematika, 2019, No. 4, pp. 45–69.
The research was supported by State science committee of Ministry of High Education and Scince of Armenia and the Russian foundation for basic Research, grant # 18RF-004.
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Karapetyan, G.A., Petrosyan, H.A. Correct Solvability of the Dirichlet Problem in the Half-space for Regular Hypoelliptic Equations. J. Contemp. Mathemat. Anal. 54, 195–209 (2019). https://doi.org/10.3103/S1068362319040022
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DOI: https://doi.org/10.3103/S1068362319040022