Abstract
We consider regular hypoelliptic operators and study some properties of completely regular polyhedra. Basing on the obtained properties, we find an upper bound for the functional dimension of the solution spaces of hypoelliptic equations.
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The author was supported by the State Committee of Science of the Ministry of Education and Science of the Republic of Armenia and the Russian Foundation for Basic Research (project no. 18RF-004).
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Russian Text © The Author(s), 2019, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2019, Vol. XXII, No. 4, pp. 81–88.
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Petrosyan, H.A. On the Properties of the Symbols of One Class of Hypoelliptic Equations. J. Appl. Ind. Math. 13, 698–705 (2019). https://doi.org/10.1134/S1990478919040124
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DOI: https://doi.org/10.1134/S1990478919040124