Symbolic calculus for boundary value problems on manifolds with edges
- Boundary value problems for (pseudo-) differential operators on a manifold with edges can be characterised by a hierarchy of symbols. The symbol structure is responsible or ellipicity and for the nature of parametrices within an algebra of "edge-degenerate" pseudo-differential operators. The edge symbol component of that hierarchy takes values in boundary value problems on an infinite model cone, with edge variables and covariables as parameters. Edge symbols play a crucial role in this theory, in particular, the contribution with holomorphic operatot-valued Mellin symbols. We establish a calculus in s framework of "twisted homogenity" that refers to strongly continuous groups of isomorphisms on weighted cone Sobolev spaces. We then derive an equivalent representation with a particularly transparent composition behaviour.
Author details: | David Kapanadze, Bert-Wolfgang SchulzeGND |
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URN: | urn:nbn:de:kobv:517-opus-26046 |
Publication series (Volume number): | Preprint ((2001) 21) |
Publication type: | Preprint |
Language: | English |
Publication year: | 2001 |
Publishing institution: | Universität Potsdam |
Release date: | 2008/11/07 |
Tag: | operators on manifolds with singularities; pseudo-differential boundary value problems |
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 / 2001 | |
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. |