Higher-order elliptic and canceling operators and new advances in Hardy spaces

• Grant number: 25/00433-1
• Support Opportunities: Scholarships abroad - Research
• Start date: August 02, 2025
• End date: August 01, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Tiago Henrique Picon
• Grantee: Tiago Henrique Picon
• Host Investigator: Pascal Auscher
• Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil
• Institution abroad: Université Paris-Saclay, Campus D'Orsay, France
• Associated research grant: 18/15484-7 - A priori estimates for elliptic operators and applications, AP.JP2

Abstract

This research project is inserted in an interface between Harmonic Analysis, Linear Partial Differential Equations and Geometric Measure theory, with the goal of advancing the following topics: a priori estimates in L1 and solvability results for equations associated to elliptic and canceling linear differential operators, removable singularities for elliptic homogeneous differential operators, new developments on Hardy spaces associate with spaces of homogeneous type and boundedness of Calderón-Zygmund type operators on Hardy spaces