graduate at Bacharelado em Matemática Aplicada from Universidade de São Paulo (1975), master's at Mathematics from Universidade de São Paulo (1979) and ph.d. at Matemática from Rutgers - The State University of New Jersey (1985). Has experience in Mathematics, focusing on Analyses, acting on the following subjects: regularidade analitica, hiperfuncoes, resolubilidade local, resolubilidade and regularidade global. (Source: Lattes Curriculum)
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The aim of this research is to study the general properties of solutions (existence, regularity, unique continuation, etc.) of (systems of) complex vector fields and its connection to the theory of holomorphic functions of several variables. (AU)
The main purpose of the project is to continue the work undertaking by the research team of Projeto Temático 2003/12206-0 in the fields of Linear Partial Differential Equations and Multidimensional Complex Analysis as well as to increase our activities on supervision of graduate students research work in these areas. The main topics to be studied are: (a) Local, semi-global and global sol…
The main purpose of the project is to continue the work undertaking by the research team of Projeto Temático 2003/12206-0 in the fields of Linear Partial Differential Equations and Multidimensional Complex Analysis as well as to increase our activities on supervision of graduate students research work in these areas. The main topics to be studied are: (a) Local, semi-global and global sol…
(Only some records are available in English at this moment)
The goal of the research project is the study of the analytic and Gevrey regularity for solutions to elliptic degenerate elliptic equations, defined by sum of squares of real vector fields satisfying Hörmander condition. The case when the vector fields are complex valued will also be analyzed.
This dissertation presents a thorough proof of L. Hörmander's theorem on the division of (tempered) distributions by polynomials. The case n = 1 is discussed in detail and serves as a motivation for the techniques that are utilized in the general case. Ali the prerequisites for Hörmander's proof (the Theorems of Seidenberg-Tarski, of Puiseaux and Whitney's Extension Theorem) are discussed…
| 1 / 1 | Ongoing research grants |
| 25 / 6 | Completed research grants |
| 4 / 2 | Completed scholarships in Brazil |
| 1 / 0 | Completed scholarships abroad |
| 31 / 9 | All research grants and scholarships |
| Associated processes | |
FERRA, IGOR AMBO; PETRONILHO, GERSON; VICTOR, BRUNO DE LESSA. Global M-Hypoellipticity, Global M-Solvability and Perturbations by Lower Order Ultradifferential Pseudodifferential Operators. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, v. 26, n. 6, DEC 2020. (18/14316-3)
DATTORI DA SILVA, PAULO L.; ZAPATA, MIGUEL A. C.. Gevrey semiglobal solvability for a class of complex vector fields. Complex Variables and Elliptic Equations, APR 2021. (18/14316-3, 18/15046-0)
HOUNIE, J.; ZUGLIANI, G.. Tube Structures of Co-rank 1 with Forms Defined on Compact Surfaces. JOURNAL OF GEOMETRIC ANALYSIS, v. 31, n. 3, FEB 2020. (18/14316-3, 14/23748-3)
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. (18/14316-3, 19/04995-3, 18/15484-7)
BERGAMASCO, ADALBERTO P.; DE MEDEIRA, CLEBER; ZANI, SERGIO L.. Global Gevrey solvability for a class of involutive systems on the torus. REVISTA MATEMATICA IBEROAMERICANA, v. 37, n. 4, p. 1459-1488, 2021. (18/14316-3)
CAMPANA, C.; HOUNIE, J.. Strong uniqueness results for first-order planar equations. Journal of Differential Equations, v. 269, n. 10, p. 7792-7824, NOV 5 2020. (16/21969-8, 18/14316-3)
HOEPFNER, G.; KAPP, R.; PICON, T.. On the Continuity and Compactness of Pseudodifferential Operators on Localizable Hardy Spaces. POTENTIAL ANALYSIS, JUL 2020. (19/04995-3, 18/14316-3, 18/15484-7)
BERGAMASCO, ADALBERTO P.; LAGUNA, RENATO A.; ZANI, SERGIO L.. Global hypoellipticity of planar complex vector fields. Journal of Differential Equations, v. 267, n. 9, p. 5220-5257, OCT 15 2019. (18/14316-3)
SILVA, PAULO L. DATTORI DA; GONZALEZ, RAFAEL B.; SILVA, MARCIO A. JORGE. Solvability for perturbations of a class of real vector fields on the two-torus. Journal of Mathematical Analysis and Applications, v. 492, n. 2, DEC 15 2020. (18/14316-3)
DA SILVA, P. L. DATTORI; MEZIANI, A.. A Gevrey Differential Complex on the Torus. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, v. 26, n. 1, JAN 14 2020. (18/14316-3, 18/15046-0)
(References retrieved automatically from State of São Paulo Research Institutions)
GARCIA, Mariana Smit Vega. Divisão de distribuições temperadas por polinômios.. Dissertação (Mestrado) - Instituto de Matemática e Estatística. Universidade de São Paulo (USP). São Paulo. (06/53020-5)
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