Operators with singular trace conditions on a manifold with edges
We establish a new calculus of pseudodifferential operators on a manifold with smooth edges and study ellipticity with extra trace and potential conditions (as well as Green operators) at the edge. In contrast to the known scenario with conditions of that kind in integral form we admit in this paper...
Main Authors: | , , |
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Format: | Others |
Language: | English |
Published: |
Universität Potsdam
2006
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Subjects: | |
Online Access: | http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30058 http://opus.kobv.de/ubp/volltexte/2009/3005/ |
Summary: | We establish a new calculus of pseudodifferential operators on a manifold with
smooth edges and study ellipticity with extra trace and potential conditions (as well as Green operators) at the edge. In contrast to the known scenario with conditions of that kind in integral form we admit in this paper ‘singular’ trace, potential and Green operators, which are related to the corresponding operators of positive type in Boutet de Monvel’s calculus for boundary value
problems. |
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