Global hypoellipticity of planar complex vector fields

Bergamasco, Adalberto P.; Laguna, Renato A.; Zani, Sergio L.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Global hypoellipticity of planar complex vector fields

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Author(s):	Bergamasco, Adalberto P. ^[1] ; Laguna, Renato A. ^[1] ; Zani, Sergio L. ^[1] Total Authors: 3
Affiliation:	^[1] ICMC USP, Dept Matemat, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	Journal of Differential Equations; v. 267, n. 9, p. 5220-5257, OCT 15 2019.
Web of Science Citations:	0
Abstract
We study the global hypoellipticity property for non-singular planar complex vector fields. The results obtained are related to condition (P) of Nirenberg-Treves and the boundedness of certain subsets of the plane where the real and the imaginary parts of the vector field under consideration are linearly dependent. We also prove the existence of a globally defined first integral when the vector field is globally hypoelliptic and has only one orbit. (C) 2019 Elsevier Inc. All rights reserved. (AU)

FAPESP's process:	18/14316-3 - Geometric theory of PDE and multidimensional complex analysis
Grantee:	Paulo Domingos Cordaro
Support Opportunities:	Research Projects - Thematic Grants

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