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Solvability for a class of first order partial differential operators

Grant number: 19/13267-1
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): September 01, 2019
Effective date (End): August 31, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Paulo Leandro Dattori da Silva
Grantee:Fernanda Martins Simão
Home 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.

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