Solvability and hypoellipticity of first order partial differential operators and...
Solvability and hypoellipticity of first order partial differential operators and ...
Local solvability of rotationally invariant differential forms
| 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 |
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. | |
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