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Spectral analysis of linear operators given by nonlocal model for dispersion and diffusion

Grant number: 19/06221-5
Support type:Scholarships abroad - Research
Effective date (Start): September 01, 2019
Effective date (End): February 29, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Marcone Corrêa Pereira
Grantee:Marcone Corrêa Pereira
Host: Rafael D Benguria
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Local de pesquisa : Pontificia Universidad Católica de Chile, Chile  

Abstract

This project is associated with the request of a scholarship abroad, submitted to FAPESP, to be developed from September 2019 to February 2020 (6 months) at the Universidad Católica de Chile in collaboration with Prof. Rafael Benguria.It is important to mention that Prof. Rafael is a full professor at his university, a member of the Chilean Academy of Sciences and has been a member of the executive committee of the International Association of Mathematical Phisics between 2006 and 2011. He is also a member of the editorial board of the following scientific journals of renowned competence: Annales Henri Poincaré , Journal of Mathematical Physics and Journal of Spectral Theory.In general, we propose to investigate questions related to the spectral analysis of linear operators associated to non-local dispersion and diffusion equations. Therefore, we intend to develop multidisciplinary research involving activities with researchers in the area of mathematics as well as related areas such as physics, biology and engineering aiming at possible applications and innovative proposals.