Global hypoellipticity of planar complex vector fields

Autor(es)

Bergamasco, Adalberto P. ^[1] ; Laguna, Renato A. ^[1] ; Zani, Sergio L. ^[1]

Afiliação do(s) autor(es)

^[1] ICMC USP, Dept Matemat, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 267, n. 9, p. 5220-5257, OCT 15 2019.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 18/14316-3 - Teoria geométrica de EDP e análise complexa multidimensional
• Beneficiário: Paulo Domingos Cordaro
• Modalidade de apoio: Auxílio à Pesquisa - Temático