| Full text | |
| Author(s): |
Araujo, Gabriel
;
Ferra, Igor A.
;
Ragognette, Luis F.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. 150, n. 11, p. 13-pg., 2022-07-29. |
| Abstract | |
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) | |
| FAPESP's process: | 16/13620-5 - Differential operators of infinite order in the study of regularity and solvability of linear and nonlinear PDE's |
| Grantee: | Luis Fernando Ragognette |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |