Spectral Theory and perturbation of linear operators

• Grant number: 22/11247-6
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Effective date (Start): November 01, 2022
• Effective date (End): October 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Antonio Luiz Pereira
• Grantee: Marco Antonio Dourado
• 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

The theme of this project will be the study of some topics on Spectral Theory and Perturbation of Linear Operators and Semigroups. The aim is to understand the central role of this theme in many areas of Analysis and to provide the necessary tools for the application of the Theory to both algebraic and analytic problems and, particularly, to various classes of Differential Equations,