Solvability for elliptic and canceling linear differential operators
Elliptic boundary value problems in non-smooth domains via a harmonic analysis and...
| Grant number: | 18/15484-7 |
| Support Opportunities: | Research Grants - Young Investigators Grants - Phase 2 |
| Duration: | May 01, 2019 - April 30, 2024 |
| 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 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)
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