A class of globally non-solvable involutive systems on the torus

de Medeira, Cleber; 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.)

A class of globally non-solvable involutive systems on the torus

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Author(s):	de Medeira, Cleber ^[1] ; Zani, Sergio L. ^[2] Total Authors: 2
Affiliation:	^[1] UFPR, Dept Matemat, Caixa Postal 19081, BR-81531980 Curitiba, Parana - Brazil ^[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS; v. 10, n. 2, p. 455-474, JUN 2019.
Web of Science Citations:	1
Abstract
We consider an involutive system associated with a smooth and closed 1-form defined on the n-dimensional torus. We show the non-global solvability of the system by assuming a certain geometric condition on the global primitive of the imaginary part of this 1-form. We use this result to characterize completely the global solvability of certain partially coupled systems. (AU)

FAPESP's process:	12/03168-7 - Geometric theory of PDE and several complex variables
Grantee:	Jorge Guillermo Hounie
Support Opportunities:	Research Projects - Thematic Grants

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