Solvability for elliptic and canceling linear differential operators
Well-posedness and qualitative properties for nonlinear PDEs
| Grant number: | 17/17804-6 |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| Start date: | February 19, 2018 |
| End date: | August 30, 2018 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Tiago Henrique Picon |
| Grantee: | Tiago Henrique Picon |
| Visiting researcher: | Laurent Moonens |
| Visiting researcher institution: | Université Paris-Sud (Paris 11), France |
| 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 |
Abstract
This proposal concerns a six month stay at the USP/FFCLRP/DCM. In case of acceptance, it would allow us to continue our ongoing research with Prof. Dr. Tiago H. Picon. Mainly our mathematical project concerns the local continuous solvability of PDE's associated (i) to elliptic and canceling operators and (ii) to de Rham-type complexes associated to an elliptic system of complex vector fields. It would also allow us to participate actively in the scientific and educational activities at USP/FFCLRP/DCM by two mini-courses (intended for undergraduate and post-graduate students respectively), a reading seminar around the analysis team and an UFScar Master's student, short advanced courses, and byco-organizing, in July 2018, a two-day Symposium in Harmonic Analysis and Geometric Measure Theory. (AU)
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