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Sibirskii Zhurnal Industrial'noi Matematiki, 2019, Volume 22, Number 4, Pages 81–88
DOI: https://doi.org/10.33048/sibjim.2019.22.408 (Mi sjim1067) 		 
On the properties of the symbols of one class of hypoelliptic equations

H. A. Petrosyan

Russian-Armenian University, ul. Hovsep Emin 123, 0051 Yerevan
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DOI: https://doi.org/10.33048/sibjim.2019.22.408
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.
Keywords: completely regular polyhedron, regular operator (polynomial), functional dimension.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 18RF-004
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).
Received: 01.07.2019
Revised: 01.07.2019
Accepted: 05.09.2019
English version:
Journal of Applied and Industrial Mathematics, 2019, Volume 13, Issue 4, Pages 698–705
DOI: https://doi.org/10.1134/S1990478919040124
Document Type: Article
UDC: 517.518.23
Language: Russian
Citation: H. A. Petrosyan, “On the properties of the symbols of one class of hypoelliptic equations”, Sib. Zh. Ind. Mat., 22:4 (2019), 81–88; J. Appl. Industr. Math., 13:4 (2019), 698–705
Citation in format AMSBIB
\Bibitem{Pet19}
\by H.~A.~Petrosyan
\paper On the properties of the symbols of one class of hypoelliptic equations
\jour Sib. Zh. Ind. Mat.
\yr 2019
\vol 22
\issue 4
\pages 81--88
\mathnet{http://mi.mathnet.ru/sjim1067}
\crossref{https://doi.org/10.33048/sibjim.2019.22.408}
\transl
\jour J. Appl. Industr. Math.
\yr 2019
\vol 13
\issue 4
\pages 698--705
\crossref{https://doi.org/10.1134/S1990478919040124}
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    		Сибирский журнал индустриальной математики
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