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Solvability for elliptic and canceling linear differential operators

Grant number: 22/02211-8
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Effective date (Start): June 01, 2022
Effective date (End): April 30, 2025
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal Investigator:Tiago Henrique Picon
Grantee:Joel Rogelio Portada Coacalle
Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil
Associated research grant:18/15484-7 - A priori estimates for elliptic operators and applications, AP.JP2

Abstract

This project, inserted in the areas of harmonic analysis and linear partial differential equations, is interested in obtaining advances in the following questions: a priori estimates in L1 norm associated to linear differential operators under certain cancellation conditions, especially in the setting of complex chains associated to (elliptic) system of complex vector fields, and solvability results for equations associated with such operators. (AU)

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