Correct Solvability of the Dirichlet Problem in the Half-space for Regular Hypoelliptic Equations
- Authors: Karapetyan G.A.1, Petrosyan H.A.1
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Affiliations:
- Russian-Armenian University
- Issue: Vol 54, No 4 (2019)
- Pages: 195-209
- Section: Functional Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/228341
- DOI: https://doi.org/10.3103/S1068362319040022
- ID: 228341
Cite item
Abstract
In this paper we study the Dirichlet problem in the half-space for regular hypoelliptic equations. Applying a special integral representation, we construct approximate solutions for this problem and thereby prove correct solvability of the problem.
About the authors
G. A. Karapetyan
Russian-Armenian University
Author for correspondence.
Email: garnik_karapetyan@yahoo.com
Armenia, Yerevan
H. A. Petrosyan
Russian-Armenian University
Author for correspondence.
Email: heghine.petrosyan@rau.am
Armenia, Yerevan