Resolvents of elliptic cone operators
- We prove the existence of sectors of minimal growth for general closed extensions of elliptic cone operators under natural ellipticity conditions. This is achieved by the construction of a suitable parametrix and reduction to the boundary. Special attention is devoted to the clarification of the analytic structure of the resolvent.
Author details: | Juan B. GilGND, Thomas KrainerGND, Gerardo A. Mendoza |
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DOI: | https://doi.org/10.1016/j.jfa.2006.07.010 |
ISSN: | 0022-1236 |
Title of parent work (English): | Journal of functional analysis |
Publisher: | Elsevier |
Place of publishing: | San Diego |
Publication type: | Article |
Language: | English |
Date of first publication: | 2006/12/01 |
Publication year: | 2006 |
Release date: | 2020/04/17 |
Tag: | boundary value problems; manifolds with conical singularities; parametrices; resolvents; spectral theory |
Volume: | 241 |
Issue: | 1 |
Number of pages: | 55 |
First page: | 1 |
Last Page: | 55 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Peer review: | Referiert |