Existence of periodic solutions for first-order partial differential equations
Applications of pseudodifferential operators with global symbols.
Global properties of systems of vector fields on compact Lie groups
| Full text | |
| Author(s): |
Ferra, Igor Ambo
;
Petronilho, Gerson
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Mathematische Nachrichten; v. 296, n. 7, p. 15-pg., 2023-04-11. |
| Abstract | |
We introduce a new class of smooth pseudodifferential operators on the torus whose calculus allows us to show that global hypoellipticity with a finite loss of derivatives of certain systems of pseudodifferential operators is stable under perturbations by lower order systems of pseudodifferential operators whose order depends on the loss of derivatives. We also present some applications. (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 |