On the global solvability of involutive systems

Bergamasco, Adalberto P.; de Medeira, Cleber; Kirilov, Alexandre; 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.)

On the global solvability of involutive systems

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Author(s):	Bergamasco, Adalberto P. ; de Medeira, Cleber ; Kirilov, Alexandre ; Zani, Sergio L. Total Authors: 4
Document type:	Journal article
Source:	Journal of Mathematical Analysis and Applications; v. 444, n. 1, p. 527-549, DEC 1 2016.
Web of Science Citations:	2
Abstract
We consider a class of involutive systems in Tn+1 associated with a closed 1-form defined on the torus T-n. We prove that, under a geometric condition, the global solvability of this class is equivalent to a diophantine condition involving Liouville forms and the connectedness of all sublevel and superlevel sets of a global primitive associated with the system. (C) 2016 Elsevier Inc. All rights reserved. (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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