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 |
|---|---|
| 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 |
