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A priori estimates for elliptic operators and applications

Grant number: 18/15484-7
Support type:Research Grants - Young Investigators Grants- Phase 2
Duration: May 01, 2019 - April 30, 2024
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Tiago Henrique Picon
Grantee:Tiago Henrique Picon
Home Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil
Associated research grant:13/17636-5 - A priori estimates for elliptic complexes and applications, AP.JP

Abstract

This research inserted into Harmonic Analysis and Linear Partial Differential Equations areas has interest to obtain advances on the following topics: a priori estimates in L1 norm and solvability results to canceling and elliptic differential operators, estimates for elliptic systems of vector fields locally integrable, L1 estimates for elliptic complexes and pseudo-complexes, div-curl type estimates, Hardy spaces and pseudodifferential operators. (AU)