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A priori estimates for elliptic complexes and applications

Grant number: 13/17636-5
Support Opportunities:Research Grants - Young Investigators Grants
Duration: February 01, 2014 - January 31, 2018
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 grant(s):18/15484-7 - A priori estimates for elliptic operators and applications, AP.JP2
17/17804-6 - Local continuous solvability of PDEs associated to elliptic operators and complexes, AV.EXT
Associated scholarship(s):17/20250-2 - Continuous solvability and removable singularities for divergence equation, BP.MS
16/25529-2 - Measure Theory and Integration, BP.IC

Abstract

This research proposal in Mathematics is inserted in the area of Partial Differential Equations whose interest is in obtaining advances on the following topics: relugarity and existence of solutions to partial differential operators and pseudo differential operators, estimates for elliptic systems of vector fields locally integrable, L1 estimates for elliptic complexes and pseudo-complexes, div-curl type estimates and Hardy spaces. (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)
HOEPFNER, G.; HOUNIE, J.; PICON, T.. Div-curl type estimates for elliptic systems of complex vector fields. Journal of Mathematical Analysis and Applications, v. 429, n. 2, p. 774-799, . (13/17636-5, 12/03168-7, 14/22054-8)
D'ABBICCO, MARCELLO; EBERT, MARCELO REMPEL; PICON, TIAGO HENRIQUE. The Critical Exponent(s) for the Semilinear Fractional Diffusive Equation. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, v. 25, n. 3, p. 696-731, . (13/17636-5, 15/16038-2)
D'ABBICCO, M.; EBERT, M. R.; PICON, T.. Long time decay estimates in real Hardy spaces for evolution equations with structural dissipation. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, v. 7, n. 2, p. 261-293, . (13/15140-2, 13/17636-5, 13/20297-8, 14/02713-7)
MOONENS, LAURENT; PICON, TIAGO. Continuous solutions for divergence-type equations associated to elliptic systems of complex vector fields. JOURNAL OF FUNCTIONAL ANALYSIS, v. 275, n. 5, p. 1073-1099, . (13/17636-5)
HOUNIE, JORGE; PICON, TIAGO. L-1 Sobolev estimates for (pseudo)-differential operators and applications. Mathematische Nachrichten, v. 289, n. 14-15, p. 1838-1854, . (13/17636-5, 12/03168-7)
EBERT, M. R.; KAPP, R. A.; PICON, T.. L-1-L-p estimates for radial solutions of the wave equation and application. Annali di Matematica Pura ed Applicata, v. 195, n. 4, p. 1081-1091, . (13/17636-5, 13/20297-8)
D'ABBICCO, MARCELLO; EBERT, MARCELO REMPEL; PICON, TIAGO; DANG, P; KU, M; QIAN, T; RODINO, LG. Global Existence of Small Data Solutions to the Semilinear Fractional Wave Equation. NEW TRENDS IN ANALYSIS AND INTERDISCIPLINARY APPLICATIONS, v. N/A, p. 7-pg., . (13/17636-5, 15/16038-2, 14/02713-7, 13/15140-2)

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