Normalization of complex-valued planar vector fields which degenerate along a real curve

被引：18

作者：

Cordaro, PD

Gong, XH

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

[2] USP, IME, Dept Matemat Aplicada, BR-05508090 Sao Paulo, Brazil

来源：

ADVANCES IN MATHEMATICS | 2004年 / 184卷 / 01期

基金：

美国国家科学基金会;

关键词：

complex vector fields in the real plane; Mizohata structures; normal forms;

D O I：

10.1016/S0001-8708(03)00139-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Taking as a start point the recent article of Meziani [7], we present several results concerning the normalization of a class of complex vector fields in the plane which degenerate along a real curve. We mainly deal with operators with finite regularity and analyze both the local situation as well as the case of normalization near a circle. Some related questions (e.g., on semi-global solvability and on the normalization of a class of generalized Mizohata operators) are also discussed. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：89 / 118

页数：30

共 19 条

[1] ENTIRE-FUNCTIONS, IN THE CLASSIFICATION OF DIFFERENTIABLE GERMS TANGENT TO THE IDENTITY, IN ONE OR 2 VARIABLES [J].