On Solvability of Regular Hypoelliptic Equations in ℝ  n

G. A. Karapetyan; H. A. Petrosyan

doi:10.3103/S1068362318040015

On Solvability of Regular Hypoelliptic Equations in ℝⁿ

Autores: Karapetyan G.¹, Petrosyan H.¹
Afiliações:
1. Russian–Armenian (Slavonic) University
Edição: Volume 53, Nº 4 (2018)
Páginas: 187-200
Seção: Functional Analysis
URL: https://journals.rcsi.science/1068-3623/article/view/228191
DOI: https://doi.org/10.3103/S1068362318040015
ID: 228191

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Resumo

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.

Palavras-chave

Multianisotropic space, hypoelliptic equation, integral representation, fundamental family of operators

Sobre autores

G. Karapetyan

Russian–Armenian (Slavonic) University

Autor responsável pela correspondência
Email: garnik_karapetyan@yahoo.com
Armênia, Yerevan

H. Petrosyan