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

Grant number: 20/11292-6
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): November 01, 2020
Effective date (End): July 31, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Marcelo Rempel Ebert
Grantee:Isadora Zanato Leite
Home 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.

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