Existence and Regularity of Periodic Solutions to Certain First-Order Partial Differential Equations

Bergamasco, Adalberto P.; Dattori da Silva, Paulo L.; Gonzalez, Rafael B.

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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.)

Existence and Regularity of Periodic Solutions to Certain First-Order Partial Differential Equations

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Author(s):	Bergamasco, Adalberto P. ; Dattori da Silva, Paulo L. ; Gonzalez, Rafael B. Total Authors: 3
Document type:	Journal article
Source:	JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS; v. 23, n. 1, p. 65-90, FEB 2017.
Web of Science Citations:	8
Abstract
We present conditions on the coefficients of a class of vector fields on the torus which yield a characterization of global solvability as well as global hypoellipticity, in other words, the existence and regularity of periodic solutions. Diophantine conditions and connectedness of certain sublevel sets appear in a natural way in our results. (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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