Abstract
Develop research and human resources training activities in the areas of Linear Partial Differential Equations and Multidimensional Complex Analysis. (AU)
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Tiago Henrique Picon
CV Lattes
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Universidade de São Paulo (USP). Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Associate professor at University of São Paulo USP. Research interests: Harmonic Analysis with interface in Linear PDEs. (Source: Lattes Curriculum)
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Research grants
- Removable singularities for the divergence equation with a linear term, AV.EXT
Abstract
The current project aims to bring together the collaborators to study a problem of removable singularities for the divergence equation with a linear term. It is expected, under assumptions on the linear term, its precise behavior does not influence the size of removable sets. In order to obtain a characterization of the latter removable sets, the authors intend to improve on techniques de…
- A priori estimates for elliptic operators and applications, AP.JP2
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 t…
- Symposium in Harmonic Analysis and Geometric Measure Theory, AO.R
(Only some records are available in English at this moment)
Scholarships in Brazil
- Solvability for elliptic and canceling linear differential operators, BP.PD
Abstract
This project, inserted in the areas of harmonic analysis and linear partial differential equations, is interested in obtaining advances in the following questions: a priori estimates in L1 norm associated to linear differential operators under certain cancellation conditions, especially in the setting of complex chains associated to (elliptic) system of complex vector fields, and solvabil…
- Boundedness of strongly singular Calderón-Zygmund for Hardy spaces, BP.MS
Abstract
In this project we are interested in the study of the strongly singular Calderon-Zygmund operators in Hardy spaces and related topics (inhomogeneous and pseudodifferential operators, atomic and molecular decomposition). (AU)
- Characterization of Hardy-Sobolev type spaces and applications, BP.DD
Abstract
In this project we are interested in the study of Sobolev-Hardy type spaces: pointwise characterization, atomic and molecular decomposition. As application, we intend to obtain some progress on continuity/boundedness (at Sobolev level) of maximal operators, div-curl estimates and pseudodifferential operators on these spaces. (AU)
(Only some records are available in English at this moment)
Scholarships abroad
- Higher-order elliptic and canceling operators and new advances in Hardy spaces, BE.PQ
Abstract
This research project is inserted in an interface between Harmonic Analysis, Linear Partial Differential Equations and Geometric Measure theory, with the goal of advancing the following topics: a priori estimates in L1 and solvability results for equations associated to elliptic and canceling linear differential operators, removable singularities for elliptic homogeneous differential oper…
- A priori estimates for elliptic operators and applications, BE.PQ
Abstract
This research project 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 for canceling and elliptic differential operators, removable singularities for elliptic homogeneous differential operators, boundedness of singular integral operators and pseud…
Total / Available in English
| 1 / 1 | Ongoing grants |
| 5 / 5 | Completed research grants |
| 8 / 7 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
| 1 / 1 | Completed scholarships abroad |
| 16 / 15 | All research grants and scholarships |
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