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 |
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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 |