Function spaces and weak solutions of partial differential equations

• Grant number: 16/11508-3
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Effective date (Start): August 01, 2016
• Effective date (End): July 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Bianca Morelli Rodolfo Calsavara
• Grantee: Ygor Arthur Cesar de Jesus
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This project consists in two parts. In the first one, it will be studied some preliminary topics measure theory and integration, Lp spaces, Sobolev spaces and sometime dependent spaces. In the second part, it will be studied existence and uniqueness of weak solution for some evolution equation. More specifically, for heat and wave equations and for a model of model of propagation of a population of mosquitos, like Aedes aegypti for example.