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Asymptotics and relative index on a cylinder with conical cross section

We study pseudodifferential operators on a cylinder IR x B with cross section B that conical singularities. Configurations of that kind are the local model of cornere singularities with base spaces B. Operators A in our calculus are assumed to have symbols α which are meromorphic in the complex covariable with values in the space of all cone operators on B. In case α is dependent of the axial variable t ∈ IR, we show an explicit formula for solutions of the homogeneous equation. Each non-bjectivity point of the symbol in the complex plane corresponds to a finite-dimensional space of solutions. Moreover, we give a relative index formula.

Identiferoai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:2644
Date January 2002
CreatorsHarutjunjan, Gohar, 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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