CV Lattes
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Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Undergraduate degree in Mathematics from Universidade de São Paulo (1970), Undergraduate degree in Civil Engineeringl from Universidade de São Paulo (1970), Master of Science in Mathematics from Universidade de São Paulo at São Carlos (1972) and Ph.D. in Mathematics from Rutgers - The State University of New Jersey (1977). Presently acts as a senior Professor at ICMC,São Carlos. Has experience in Mathematics, mainly in Partial Differential Equations, working on the following topics: global solvability, vector fields on the torus, Condition (P), global hypoellipticity, Diophantine conditions and involutive systems. (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…
(Only some records are available in English at this moment)
The project's theme is the study of necessary and sufficient conditions for the existence of global solutions to a first order linear partial differential equation.We study equations of the form Lu=f , where L is a complex vector field on the n-dimensional torus. Let X denote the space of complex-valued functions defined on the n-dimensional torus.We work in the context of smooth f…
This project mainly consists of two research areas we intend to deal with: the first one relates to global analysis on the torus in the ultradifferentiable setting; we are particularly interested in global solvability and hypoellipticity (in the Denjoy-Carleman frame) for complex vector fields and operators given by sums of squares of vector fields. The second part is concerned with infin…
The main goal is to obtain necessary and/or sufficient conditions for the existence of solutions to the Riemann-Hilbert problem for first order linear partial differential equations - in fact equations defined by complex vector fields. For this we will be interested in studying the global solvability of the vector field. The known classical case is when the vector field is the Cauchy-Riem…
(Only some records are available in English at this moment)
The Riemann-Hilbert problemThe main goal is to obtain necessary and/or sufficient conditions for the existence of solutions to the Riemann-Hilbert problem for first-order linear partial differential equations - in fact, equations defined by complex vector fields, denoted by L.In order to achieve such a goal, it will be useful to obtain necessary and/or sufficient conditions for the existe…
The main objective is to obtain conditions for global solutions exist for a system of linear partial differential equations of first order defined in the product of a compact manifold by the circumference. (AU)
| 5 / 5 | Completed research grants |
| 17 / 5 | Completed scholarships in Brazil |
| 2 / 2 | Completed scholarships abroad |
| 24 / 12 | All research grants and scholarships |
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