Global s-solvability and global s-hypoellipticity for certain perturbations of zero order of systems of constant real vector fields |
| |
Authors: | G. Petronilho S.L. Zani |
| |
Affiliation: | a Departamento de Matemática, Universidade Federal de São Carlos, São Carlos, SP 13565-905, Brazil b ICMC-USP, Caixa Postal 668, São Carlos, SP 13560-970, Brazil |
| |
Abstract: | The main purpose of this paper is to show, in the two-dimensional torus, a necessary and sufficient condition in order to certain perturbations of zero order of a system of constant real vector fields to be globally s-solvable. We are also interested in studying its global s-hypoellipticity. We present connections between these global concepts and a priori estimates. We also present two applications of our results for systems of operators with variable coefficients. |
| |
Keywords: | 35B10 35B20 35H05 35N05 |
本文献已被 ScienceDirect 等数据库收录! |
|