Seminário Análise Funcional e Aplicações 

08/09/2006, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
Messoud Efendiev, GSF/TUM Munich, Germany

Nonlinear Riemann-Hilbert problem: theory and application

In my talk I will consider the recent developments in the study of global solvability of nonlinear equations. We will consider a quite large class of nonlinear mappings generated by the nonlinear elliptic problems related to the nonlinear pseudodifferential opearators. Here the geometrical properties of corresponding mappings will play a crucial role, which will allow us to define topological and other invariants. We will especially focus an application of these new ideas to the global solvability of nonlinear Riemann-Hilbert problems for general domains.