REGULARITY OF THE SOLUTIONS FOR SUM OF SQUARES OF REAL AND COMPLEX VECTOR FIELDS

• Grant number: 13/08238-6
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: August 01, 2013
• End date: July 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Paulo Domingos Cordaro
• Grantee: Gregorio Chinni
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 12/03168-7 - Geometric theory of PDE and several complex variables, AP.TEM

Abstract

The goal of the research project is the study of the analytic and Gevrey regularity for solutions to elliptic degenerate elliptic equations, defined by sum of squares of real vector fields satisfying Hörmander condition. The case when the vector fields are complex valued will also be analyzed.