Solvability and hypoellipticity of first order partial differential operators and...
Solvability for a class of first-order partial differential operators
The Riemann Hilbert Problem for degenerate elliptic vector fields
Grant number: | 15/20815-4 |
Support Opportunities: | Regular Research Grants |
Start date: | December 01, 2015 |
End date: | May 31, 2018 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
Principal Investigator: | Paulo Leandro Dattori da Silva |
Grantee: | Paulo Leandro Dattori da Silva |
Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract
Let X be smooth, connected, n-dimentional manifold and let L be a nonsingular smooth complex vector field defined on X.This project deals with the study of problems related with semiglobal/global solvability and global hypoellipticity of equations in the formLu=Au+B\overline{u}+fdefined in X, where A, B and f are smooth functions.Also, it deals with the study of generalized Riemann-Hilbert problemLu=Au+B\overline{u}+f, em U\subset R^2\Re(gu)=\chi, sobre \partialUwhere L is a smooth complex vector field defined on R^2, f\in C^\infty(R^2),g\in C^\alpha(\partialU, S^1) and \chi\in C^\alpha(\partialU, R).The problems mentioned above can be considered in others spaces of functions, for instance, L^p.This project also deals with the study of solvability and hipoellipticity of complex associated to a system of closed 1-formsdefined on compact manifolds and the calculus of relative cohomology. (AU)
Articles published in Agência FAPESP Newsletter about the research grant: |
More itemsLess items |
TITULO |
Articles published in other media outlets ( ): |
More itemsLess items |
VEICULO: TITULO (DATA) |
VEICULO: TITULO (DATA) |