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A priori estimates for elliptic operators and applications

Grant number: 18/15484-7
Support Opportunities:Research Grants - Young Investigators Grants - Phase 2
Duration: May 01, 2019 - April 30, 2025
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal Investigator:Tiago Henrique Picon
Grantee:Tiago Henrique Picon
Host 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 grant(s):24/14167-9 - Removable singularities for the divergence equation with a linear term, AV.EXT
Associated scholarship(s):22/02211-8 - Solvability for elliptic and canceling linear differential operators, BP.PD
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)

Articles published in Agência FAPESP Newsletter about the research grant:
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Scientific publications (7)
(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, . (17/17804-6, 18/15484-7, 19/21179-5)
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, . (18/14316-3, 19/04995-3, 18/15484-7)
PICON, TIAGO; VASCONCELOS, CLAUDIO. On the Continuity of Strongly Singular Calderon-Zygmund-Type Operators on Hardy Spaces. Integral Equations and Operator Theory, v. 95, n. 2, p. 29-pg., . (18/15484-7)
DAFNI, GALIA; LAU, CHUN HO; PICON, TIAGO; VASCONCELOS, CLAUDIO. Inhomogeneous cancellation conditions and Calderon-Zygmund type operators on h(p). NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 225, p. 22-pg., . (18/15484-7)
HOUNIE, J.; PICON, T.. Local Hardy-Littlewood-Sobolev inequalities for canceling elliptic differential operators. Journal of Mathematical Analysis and Applications, v. 494, n. 1, p. 24-pg., . (18/14316-3, 18/15484-7)
DE NAPOLI, PABLO; PICON, TIAGO. STEIN-WEISS INEQUALITY IN L1 NORM FOR VECTOR FIELDS. Proceedings of the American Mathematical Society, v. 151, n. 4, p. 17-pg., . (18/15484-7)

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