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NORMALIZATION, OPTIMAL REGULARITY, AND SOLVABILITY IN GEVREY CLASSES OF VECTOR FIELDS NEAR TRAPPED ORBITS

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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