Differential complexes associated to locally integrable structures.
Global ultradifferentiable functions, complex analysis, and PDE's
Qualitative theory of PDE's in connexion with harmonic analysis, geometric measure...
| Full text | |
| Author(s): |
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 Opportunities: | 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 Opportunities: | Regular Research Grants |