Abstract
In this paper the unique solvability of regular hypoelliptic equations in multianisotropic weighted functional spaces is proved by means of special integral representation of functions through a regular operator. The existence of the solutions is proved by constructing approximate solutions using multianisotropic integral operators.
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Original Russian Text © G. A. Karapetyan, H. A. Petrosyan, 2018, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Matematika, 2018, No. 4, pp. 46–65.
The research was supported by GKN MON RA under project # SCS 15T-1A 197, and by the thematic financing of Russian-Armenian University from the fund of MON RF.
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Karapetyan, G.A., Petrosyan, H.A. On Solvability of Regular Hypoelliptic Equations in ℝn. J. Contemp. Mathemat. Anal. 53, 187–200 (2018). https://doi.org/10.3103/S1068362318040015
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DOI: https://doi.org/10.3103/S1068362318040015