| Texto completo | |
| Autor(es): |
Araujo, Gabriel
;
Ferra, Igor A.
;
Ragognette, Luis F.
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Proceedings of the American Mathematical Society; v. 150, n. 11, p. 13-pg., 2022-07-29. |
| Resumo | |
On T x G, where T is a compact real-analytic manifold and G is a compact Lie group, we consider differential operators P which are invariant by left translations on G and are elliptic in T. Under a mild technical condition, we prove that global hypoellipticity of P implies its global analytic-hypoellipticity (actually Gevrey of any order s >= 1). We also study the connection between the latter property and the notion of global analytic (resp. Gevrey) solvability, but in a much more general setup. (AU) | |
| Processo FAPESP: | 16/13620-5 - Operadores diferenciais de ordem infinita no estudo de regularidade e resolubilidade de EDP's lineares e não lineares |
| Beneficiário: | Luis Fernando Ragognette |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |