A priori estimates for elliptic operators and applications

• Grant number: 19/21179-5
• Support Opportunities: Scholarships abroad - Research
• Start date: January 01, 2020
• End date: February 29, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Tiago Henrique Picon
• Grantee: Tiago Henrique Picon
• Host Investigator: Guy R. David
• 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-Sud (Paris 11), France
• Associated research grant: 18/14316-3 - Geometric theory of PDE and multidimensional complex analysis, AP.TEM

Abstract

This research project 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 for canceling and elliptic differential operators, removable singularities for elliptic homogeneous differential operators, boundedness of singular integral operators and pseudodifferential operators on Hardy spaces. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

MOONENS, LAURENT; PICON, TIAGO. On local continuous solvability of equations associated to elliptic and canceling linear differential operators. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, v. 149, p. 47-72, MAY 2021. (17/17804-6, 18/15484-7, 19/21179-5)