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Asymptotics of potentials in the edge calculus

Boundary value problems on manifolds with conical singularities or edges contain potential operators as well as trace and Green operators which play a similar role as the corresponding operators in (pseudo-differential) boundary value problems on a smooth manifold. There is then a specific asymptotic behaviour of these operators close to the singularities. We characterise potential operators in terms of actions of cone or edge pseudo-differential operators (in the neighbouring space) on densities supported by sbmanifolds which also have conical or edge singularities. As a byproduct we show the continuity of such potentials as continuous perators between cone or edge Sobolev spaces and subspaces with asymptotics.

Identiferoai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:2653
Date January 2003
CreatorsKapanadze, David, Schulze, Bert-Wolfgang
PublisherUniversität Potsdam, Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik
Source SetsPotsdam University
LanguageEnglish
Detected LanguageEnglish
TypePreprint
Formatapplication/pdf
Rightshttp://opus.kobv.de/ubp/doku/urheberrecht.php

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