Semigroup theory and existence of global solutions for differential equations

• Grant number: 14/01037-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: April 01, 2014
• End date: March 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Eduardo Alex Hernández Morales
• Grantee: Luis Pedro Lombardi Junior
• Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil

Abstract

The purpose of the project is to study semigroup theory of bounded linear operators with application to partial differential equations. In particular, we will study the existence of global solutions for abstract differential equations with applications to partial differential equations.