| Full text | |
| Author(s): |
de Almeida, Marcelo F.
;
Dattori da Silva, Paulo L.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Results in Mathematics; v. 76, n. 2, p. 17-pg., 2021-05-01. |
| Abstract | |
This paper deals with Gevrey global solvability on the N-dimensional torus (T-N similar or equal to R-N/2 pi Z(N)) to a class of nonlinear first order partial differential equations in the form Lu-au-bu over bar =f, where a, b, and f are Gevrey functions on T-N and L is a complex vector field defined on T-N. Diophantine properties of the coefficients of L appear in a natural way in our results. Also, we present results in C-infinity context. (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 |
| FAPESP's process: | 18/15046-0 - Solvability and hypoellipticity of first order partial differential operators and boundary value problems |
| Grantee: | Paulo Leandro Dattori da Silva |
| Support Opportunities: | Regular Research Grants |