A proof of Hormander's theorem for sublaplacians on Carnot groups

被引：2

作者：

Bramanti, Marco ^{[1
]}

Brandolini, Luca ^{[2
]}

机构：

[1] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

[2] Univ Bergamo, Dipartimento Ingn Gest Informaz & Prod, I-24044 Dalmine, BG, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 126卷

关键词：

Hypoelliptic operators; Hormander's hypoellipticity theorem;

D O I：

10.1016/j.na.2015.02.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a self-contained analytical proof of Hormander's hypoellipticity theorem in the case of left invariant sub-laplacians of Carnot groups. The proof does not rely on pseudodifferential calculus and provides intermediate regularity estimates expressed in terms of Sobolev spaces induced by right invariant vector fields. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：170 / 200

页数：31

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