Local solvability and hipoellipticity of constant coefficient linear partial differential operators

• Grant number: 15/19314-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2015
• End date: October 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Paulo Leandro Dattori da Silva
• Grantee: Vinícius Novelli da Silva
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This Research Project deals with the study of (local) solvability and hipoellipticity of constant coefficient linear partial differential operators defined in R^n. We will study topics of Theory of Distributions and the existence of Fundamental Solutions.