Ordinary differential equation with variable coefficients and applications

• Grant number: 16/06506-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: July 01, 2016
• End date: June 30, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcelo Rempel Ebert
• Grantee: Poliana Reis Costa
• Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil

Abstract

In this project we plan to study the well known Frobenius method for ordinary differential equations. In particular the long time behaviour for the general solutions of the Bessel equation. Moreover, we plan to apply these a priori estimates to derive global in time small data solutions to the Cauchy problem for a class of semi-linear wave equations.