Global analytic regularity for sums of squares of vector fields

被引：23

作者：

Cordaro, PD

Himonas, AA

机构：

[1] USP, IME, BR-05389970 Sao Paulo, Brazil

[2] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 350卷 / 12期

关键词：

analytic hypoellipticity; global; torus; sum of squares of vector fields; finite type; subelliptic;

D O I：

10.1090/S0002-9947-98-01987-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a class of operators in the form of a sum of squares of vector fields with real analytic coefficients on the torus and we show that the zero order term may influence their global analytic hypoellipticity. Also we extend a result of Cordaro-Himonas.

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收藏

页码：4993 / 5001

页数：9

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