Operators on a manifold with boundary and edge

12.05.2017, 11 Uhr  –  Haus 9, Raum 2.22
Arbeitsgruppenseminar Analysis

Sara Khalil

We establish a calculus of boundary value problems (BVPs) on a manifold N with boundary and edge, based on Boutet de Monvel's theory of  BVPs in the case of a smooth boundary and on the edge calculus, where in the present case the model cone has a base which is a compact manifold with boundary. The corresponding calculus with boundary and edge is a unification of both structures and controls different operator-valued symbolic structures, in order to obtain ellipticity and parametrices.