Correct Solvability of the Dirichlet Problem in the Half-space for Regular Hypoelliptic Equations


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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

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