Distribution theory and differential equations

• Grant number: 11/22790-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: February 01, 2012
• End date: December 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Adalberto Panobianco Bergamasco
• Grantee: Luís Márcio Salge
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The main goal is to study the elementary theory of distributions in Euclidean space, with some applications to linear partial differential equations. The program includes the definitions and basic properties such as operations, convolution, and convergence, with applications to the study of fundamental solutions and their relation to the regularity of solutions.