Functional analysis and an introduction to the theory of semigroups of bounded linear operators

• Grant number: 21/07955-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2021
• End date: August 31, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Andréa Cristina Prokopczyk Arita
• Grantee: Ricardo Luís Bertolucci Filho
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil

Abstract

This project is divided into two parts: the first one is concerned to study some topics of functional analysis that will serve as a basis and tool for then, in the second part, we start developing the theory of semigroups of bounded linear operators. Next, we will apply the results already seen in the study of the abstract Cauchy problem. (AU)