| Grant number: | 07/08231-0 |
| Support Opportunities: | Research Projects - Thematic Grants |
| Start date: | June 01, 2008 |
| End date: | October 31, 2012 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Jorge Guillermo Hounie |
| Grantee: | Jorge Guillermo Hounie |
| Host Institution: | Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil |
| Pesquisadores principais: | Adalberto Panobianco Bergamasco ; Gerson Petronilho ; Paulo Domingos Cordaro |
| Associated researchers: | José Ruidival Soares dos Santos Filho ; Luís Antônio Carvalho dos Santos ; Sérgio Luís Zani |
| Associated scholarship(s): | 11/07083-3 - L1 estimates for elliptic systems of vector fields, BP.PD |
Abstract
The main purpose of the project is to continue the work undertaking by the research team of Projeto Temático 2003/12206-0 in the fields of Linear Partial Differential Equations and Multidimensional Complex Analysis as well as to increase our activities on supervision of graduate students research work in these areas. The main topics to be studied are: (a) Local, semi-global and global solvability for linear differential operators and involutive systems of complex vector fields; (b) Regularity properties of the solutions: infty, analytic and Gevrey hypoellipticity; (c) General properties of the approximate solutions to involutive systems of complex vector fields; (d) The theory of Hardy spaces for solutions of non-elliptic vector fields; (e) The extension of the F. and M. Riesz and Rudin-Carleson theorems to complex vector fields. (AU)
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