Spectral analysis of nonlocal operators of differential equations

• Grant number: 22/02263-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: April 01, 2022
• End date: March 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcone Corrêa Pereira
• Grantee: José Pedro Brito de Azevedo Faustino
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 20/14075-6 - Dynamical systems and their attractors under perturbations, AP.TEM

Abstract

In this project we intend to study the spectrum of non-local operators. Such operators are non-local versions of classical operators studied in differential equations, such as the Laplacian.(AU)