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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive
Sib. Zh. Ind. Mat., 2019 Volume 22, Number 4, Pages 81–88 (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

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.

UDC: 517.518.23

Received: 01.07.2019
Revised: 01.07.2019
Accepted: 05.09.2019

DOI: 10.33048/sibjim.2019.22.408


 English version: Journal of Applied and Industrial Mathematics, 2019, 13:4, 698–705

© Steklov Math. Inst. of RAS, 2024