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

被引：0

作者：

Karapetyan, G. A. ^{[1
]}

Petrosyan, H. A. ^{[1
]}

机构：

[1] Russian Armenian Univ, Yerevan, Armenia

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2019年 / 54卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Regular hypoelliptic equation; multianisotropic distance; integral representation; multianisotropic kernel; correct solvability;

D O I：

10.3103/S1068362319040022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：195 / 209

页数：15

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