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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.(AU)

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