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

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

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BENGURIA, RAFAEL D.; PEREIRA, MARCONE C.. Remarks on the spectrum of a non-local Dirichlet problem. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, v. 53, n. 6, NOV 2021. (19/06221-5)

PEREIRA, MARCONE; OLIVA, SERGIO; SARTORI, LARISSA. Time-scale analysis nonlocal diffusion systems, applied to disease models. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 43, n. 15, MAY 2020. (19/06221-5, 17/02630-2)