Global solvability for a class of overdetermined systems

被引：20

作者：

Bergamasco, Adalberto P.

Kirilov, Alexandre

机构：

[1] ICMC USP, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil

[2] UFPR, Dept Matemat, BR-81531990 Curitiba, Parana, Brazil

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2007年 / 252卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

global solvability; overdetermined systems; complex vector fields;

D O I：

10.1016/j.jfa.2007.03.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we consider systems of two smooth vector fields on the three-dimensional torus associated to a closed I-form. We prove that, for such systems, the global solvability in the space of smooth functions is characterized by the property of all the sublevel and superlevel sets of a certain primitive of the I-form being connected. (c) 2007 Elsevier Inc. All rights reserved.

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收藏

页码：603 / 629

页数：27

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