| Grant number: | 13/26463-7 |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| Start date: | November 07, 2014 |
| End date: | November 06, 2015 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Adalberto Panobianco Bergamasco |
| Grantee: | Camilo Campana |
| Supervisor: | Abdelhamid 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 to the scholarship: | 13/08452-8 - The Riemann-Hilbert problem for complex vector fields, BP.DR |
Abstract The Riemann-Hilbert problemThe main goal is to obtain necessary and/or sufficient conditions for the existence of solutions to the Riemann-Hilbert problem for first-order linear partial differential equations - in fact, equations defined by complex vector fields, denoted by L.In order to achieve such a goal, it will be useful to obtain necessary and/or sufficient conditions for the existence of global solutions to the equation Lu = f on certain open subsets of the plane.Given a smooth function f, the solution we seek will be a smooth function defined on such an open subset.The known, classical case concerns the situation when the vector field is the Cauchy-Riemann operator, or, more generally, when L is an elliptic vector field. (AU) | |
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