Geodesic
On the properties of the symbols of one class of hypoelliptic equations
Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 4, pp. 81-88

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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. 
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     author = {H. A. Petrosyan},
     title = {On the properties of the symbols of one class of hypoelliptic equations},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {81--88},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2019_22_4_a7/}
}
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H. A. Petrosyan. On the properties of the symbols of one class of hypoelliptic equations. Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 4, pp. 81-88. http://geodesic.mathdoc.fr/item/SJIM_2019_22_4_a7/