Solvability and hypoellipticity of first order partial differential operators and ...
Solvability and hypoellipticity of first order partial differential operators and...
| Full text | |
| Author(s): |
Rodrigues, N. Braun
;
Cordaro, Paulo D.
;
Petronilho, Gerson
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 375, p. 13-pg., 2023-12-05. |
| Abstract | |
In this work we study the smooth and Gevrey hypoellipticity for systems of n real-analytic, complex vector fields in n + 1 variables. Our results are stated in terms of the properties of a first integral of the system. In particular, we give a partial answer to a conjecture stated by F. Treves in 1981. & COPY; 2023 Published by Elsevier Inc. (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: | 20/15368-7 - Differential complexes associated to locally integrable structures. |
| Grantee: | Nicholas Braun Rodrigues |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |