| Texto completo | |
| Autor(es): |
Hoepfner, Gustavo
;
Jahnke, Max Reinhold
;
Novelli, Vinicius
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Proceedings of the American Mathematical Society; v. 151, n. 3, p. 15-pg., 2023-03-01. |
| Resumo | |
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) | |
| Processo FAPESP: | 18/14316-3 - Teoria geométrica de EDP e análise complexa multidimensional |
| Beneficiário: | Paulo Domingos Cordaro |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 19/09967-8 - Resolubilidade e regularidade para algumas classes de PDEs |
| Beneficiário: | Max Reinhold Jahnke |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |