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Boundary problems on a manifold with edge

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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… Click to show full abstract

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.

Keywords: problems manifold; boundary edge; edge; manifold edge; boundary problems

Journal Title: Asian-european Journal of Mathematics
Year Published: 2017

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