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 - Analysis
• Principal researcher: 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
• Associated scholarship(s): 22/00874-0 - Boundedness of strongly singular Calderón-Zygmund for Hardy spaces, BP.MS; 21/12655-8 - Characterization of Hardy-Sobolev type spaces and applications, BP.DD; 19/19199-8 - Introduction to the theory of distribution, BP.IC

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)

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)

HOEPFNER, G.; KAPP, R.; PICON, T. On the Continuity and Compactness of Pseudodifferential Operators on Localizable Hardy Spaces. POTENTIAL ANALYSIS, v. 55, n. 3, p. 491-512, OCT 2021. Web of Science Citations: 0.

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. Web of Science Citations: 0.