A Priori Estimates and Fredholm Criteria for a Class of Regular Hypoelliptic Operators

被引：0
|
作者：
Tumanyan A.G. [1 ,2 ]
机构：
[1] Russian–Armenian University, Erevan
[2] Siemens Digital Industries Software, Erevan
来源：
Siberian Advances in Mathematics | 2023年 / 33卷 / 2期
关键词：
a priori estimate; Fredholm operator; multianisotropic weighted space; regular hypoelliptic operator; regularizer;
D O I：
10.1134/S1055134423020049
中图分类号：
学科分类号：
摘要：
Abstract: We study the Fredholm property of regular hypoelliptic operators with special variablecoefficients. In this paper, necessary and sufficient conditions are obtained for a priori estimatesfor differential operators acting in multianisotropic Sobolev spaces. Fredholm criteria are obtainedfor a wide class of regular hypoelliptic operators in multianisotropic weighted spaces in (Formula presented). © 2023, Pleiades Publishing, Ltd.
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页码：151 / 164
页数：13
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