| Full text | |
| Author(s): |
Hoepfner, Gustavo
;
Jahnke, Max Reinhold
;
Novelli, Vinicius
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. 151, n. 3, p. 15-pg., 2023-03-01. |
| Abstract | |
We prove a normalization and solvability result in Gevrey spaces for a family of vector fields in a neighborhood of a torus, extending recent work of Meziani [Trans. Amer. Math. Soc. 369 (2017), pp. 3325-3354]. The consideration of Gevrey order allows for a precise characterization of solv-ability, or lack thereof, for some vector fields of this class, which includes the real-analytic classes considered by Meziani. We also prove semiglobal solv-ability for a normalized family of real vector fields in the case of classical and non-homogeneous Gevrey spaces. (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: | 19/09967-8 - Solvability and Regularity for Some Classes of PDEs |
| Grantee: | Max Reinhold Jahnke |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |