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.
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| Author details: | Gohar Harutjunjan, Bert-Wolfgang SchulzeGND |
|---|---|
| URN: | urn:nbn:de:kobv:517-opus-26446 |
| Publication series (Volume number): | Preprint ((2002) 27) |
| Publication type: | Preprint |
| Language: | English |
| Publication year: | 2002 |
| Publishing institution: | Universität Potsdam |
| Release date: | 2008/11/12 |
| Tag: | Meromorphic operator functions; parameter-dependent cone operators; relative index formulas |
| RVK - Regensburg classification: | SI 990 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Collection(s): | Universität Potsdam / Schriftenreihen / Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partielle Differentialgleichungen und Komplexe Analysis |
| Universität Potsdam / Schriftenreihen / Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partielle Differentialgleichungen und Komplexe Analysis / 2002 | |
| License (German): |  Keine öffentliche Lizenz: Unter Urheberrechtsschutz |
| External remark: | Die Printversion kann in der Universitätsbibliothek Potsdam eingesehen werden: Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partielle Differentialgleichungen und Komplexe Analysis, 1997- Die Online-Fassung wird auf der Homepage des Instituts für Mathematik veröffentlicht. |
