Gevrey solvability and hypoellipticity of classes of partial differential operators

• Grant number: 19/13265-9
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2019
• End date: August 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Paulo Leandro Dattori da Silva
• Grantee: Isadora Vieira Coelho da Silva
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 18/14316-3 - Geometric theory of PDE and multidimensional complex analysis, AP.TEM

Abstract

This work deals with the study of theory of ultradistributions. As an application we will study (local) solvability and hypoellipticity of linear partial differential operators of order m, with constant coefficients, defined on Rn. Depending on developing of the work we will study the solvability and hypoellipticity of classes of linear partial differential operators with variable coefficients.