Existence of periodic solutions for first-order partial differential equations
Solvability and hypoellipticity of first order partial differential operators and ...
Solvability and hypoellipticity of first order partial differential operators and...
Grant number: | 14/06515-5 |
Support Opportunities: | Scholarships abroad - Research |
Start date: | October 06, 2014 |
End date: | July 26, 2015 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
Principal Investigator: | Paulo Leandro Dattori da Silva |
Grantee: | Paulo Leandro Dattori da Silva |
Host Investigator: | Adelhamid Meziani |
Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Institution abroad: | Florida International University (FIU), United States |
Associated research grant: | 12/03168-7 - Geometric theory of PDE and several complex variables, AP.TEM |
Abstract Let X be a two-dimensional, conected, smooth manifold and let L be a nonsingular complex vector field, with smooth coefficients, defined on X. This project deals with the study of problems related to global and semiglobal solvabitity of equations in the form Lu=Au+f defined in X, where A and f are smooth functions. Also, this project deals with the Riemann-Hilbert problem with equationLu=Au+B\overline{u}+f, em U\subset R^2with the boundary condition\Re(gu)=h, on \partial U,where L is a smooth complex vector field defined on R^2, f\in C^\infty(R^2),g\in C^\alpha(\partial U, S^1) andh\in C^\alpha(\partial U, R). (AU) | |
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