Solvability for a class of first order partial differential operators

• Grant number: 19/13267-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2019
• End date: August 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Paulo Leandro Dattori da Silva
• Grantee: Fernanda Martins Simão
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 18/14316-3 - Geometric theory of PDE and multidimensional complex analysis, AP.TEM

Abstract

Let M be a surface and let P be a constant coefficient first order linear partial differential operator defined on M. This work deals with the study of the following problem: Let K be a compact subset of M. Given a smooth function f finding u smooth solution to Pu=f in some open neighborhood of K.