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Gevrey solvability and hypoellipticity of classes of partial differential operators

Grant number: 19/13265-9
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): September 01, 2019
Effective date (End): August 31, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Paulo Leandro Dattori da Silva
Grantee:Isadora Vieira Coelho da Silva
Home 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


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.

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