Geometric analysis of PDE and several complex variables

• Grant number: 03/12206-0
• Support Opportunities: Research Projects - Thematic Grants
• Start date: May 01, 2004
• End date: April 30, 2008
• 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
• City of the host institution: São Carlos
• Principal investigators: Adalberto Panobianco Bergamasco ; Gerson Petronilho ; Paulo Domingos Cordaro
• Associated research grant(s): 06/52421-6 - Locally solvable vector fields and hardy spaces., AR.EXT

Abstract

The main purpose of the project is to continue our research work 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) the extension of the F. and M. Riesz theorem to complex vector fields; (b) the theory of Hardy spaces for solutions of non-elliptic vector fields; (c) local, semi-global and global solvability for linear differential operators and involutive systems of complex vector fields; (d) regularity properties of the solutions: C8, analytic and Gevrey hypoellipticity; (e) general properties of the approximate solutions to involutive systems of complex vector fields. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

HOUNIE, JORGE; LANCONELLI, ERMANNO. A sphere theorem for a class of Reinhardt domains with constant Levi curvature. FORUM MATHEMATICUM, v. 20, n. 4, p. 571-586, JUL 2008. (03/12206-0)