| Full text | |
| Author(s): |
Dattori da Silva, Paulo L.
;
Zapata, Miguel A. C.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Complex Variables and Elliptic Equations; v. 67, n. 9, p. 11-pg., 2021-04-14. |
| Abstract | |
We deal with Gevrey solvability of a class of complex vector fields, defined on Omega = R x T-1, where T-1 similar or equal to R/2 pi Z is the unit circle, given by L = partial derivative/partial derivative t + (a(x) + ib(x))partial derivative/partial derivative x, b not equal 0, near the characteristic set Sigma = {0} x T-1. We show that under certain condition involving the order of vanishing of the functions a and b at x = 0 the equation Lu = f does not have Gevrey solutions. (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 |