Analytic regularity for structures of corank one

Author(s)

Érik Fernando de Amorim

• Document type: Master's Dissertation
• Press: São Carlos.
• Institution: Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB)
• Defense date: 2014-02-25

Examining board members

Adalberto Panobianco Bergamasco; Gustavo Hoepfner; Jorge Guillermo Hounie

• Advisor: Sergio Luis Zani

Abstract

In this work we consider systems of first-order linear partial differential equations, with analytic coefficients, defined on real-analytic manifolds, in the special case in which the corank is equal to one. We prove that this type of systems admits local first integrals, and we seek to characterize their local and global analytic hypoellipticity in terms of topological properties of these first integrals. We also prove the Baouendi-Trèves Approximation Formula (AU)

• FAPESP's process: 11/14739-2 - Analytic regularity for structures of co-rank one
• Grantee: Érik Fernando de Amorim
• Support Opportunities: Scholarships in Brazil - Master