Fourier analysis and the asyptotic behaviors of solutions to the Cauchy problem for Partial Differential Equations

• Grant number: 20/11292-6
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2020
• End date: July 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcelo Rempel Ebert
• Grantee: Isadora Zanato Leite
• 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 are interested into study the basics in Fourier Analysis and to apply it to determine the asymptotic behavior (in time) of solutions to the Cauchy problem for some evolution partial differential in function spaces as Lebesgue spaces or Sobolev spaces.