Boundary problems on a manifold with edge
- We establish a calculus of boundary value problems (BVPs) on a manifold N with boundary and edge, based on Boutet de Monvel’s theory of BVPs in the case of a smooth boundary and on the edge calculus, where in the present case the model cone has a base which is a compact manifold with boundary. The corresponding calculus with boundary and edge is a unification of both structures and controls different operator-valued symbolic structures, in order to obtain ellipticity and parametrices.
| Author details: | Sara KhalilORCiDGND, Bert-Wolfgang SchulzeGND |
|---|---|
| DOI: | https://doi.org/10.1142/S1793557117500875 |
| ISSN: | 1793-5571 |
| ISSN: | 1793-7183 |
| Title of parent work (English): | Asian-European Journal of Mathematics |
| Publisher: | World Scientific |
| Place of publishing: | Singapore |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2017/04/27 |
| Publication year: | 2017 |
| Release date: | 2022/06/09 |
| Tag: | Fredholm property; distribution with asymptotics; ellipticity; manifolds with edge and boundary |
| Volume: | 10 |
| Issue: | 2 |
| Number of pages: | 43 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
