Fourier series and partial differential equations

• Grant number: 12/16318-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: October 01, 2012
• End date: September 30, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Roberto de Almeida Prado
• Grantee: Naiara Aparecida dos Santos Silva
• Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil

Abstract

This research project will study the theory of the Fourier series and some important partial differential equations that appear in problems of Mathematical Physics, such as heat equations, waves, and Laplace. To solve these equations we use the Fourier method, whose key ingredient is the Fourier series.(AU)