Advanced search
Start date
Betweenand
(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 Gevrey Differential Complex on the Torus

Full text
Author(s):
da Silva, P. L. Dattori [1] ; Meziani, A. [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil
[2] Florida Int Univ, Dept Math, Miami, FL 33199 - USA
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS; v. 26, n. 1 JAN 14 2020.
Web of Science Citations: 0
Abstract

To a system of n closed one-forms on the torus Tm+n, we associate a differential complex and compute the induced cohomology groups in the s-Gevrey category, provided that a related matrix of periods satisfies a Diophantine condition. Also, we present a complete characterization for the s-global hypoellipticity at the level of q-forms for q >= 0. (AU)

FAPESP's process: 18/14316-3 - Geometric theory of PDE and multidimensional complex analysis
Grantee:Paulo Domingos Cordaro
Support type: Research Projects - Thematic Grants
FAPESP's process: 18/15046-0 - Solvability and hypoellipticity of first order partial differential operators and boundary value problems
Grantee:Paulo Leandro Dattori da Silva
Support type: Regular Research Grants