Corner Boundary Value Problems
- Boundary value problems on a manifold with smooth boundary are closely related to the edge calculus where the boundary plays the role of an edge. The problem of expressing parametrices of Shapiro-Lopatinskij elliptic boundary value problems for differential operators gives rise to pseudo-differential operators with the transmission property at the boundary. However, there are interesting pseudo-differential operators without the transmission property, for instance, the Dirichlet-to-Neumann operator. In this case the symbols become edge-degenerate under a suitable quantisation, cf. Chang et al. (J Pseudo-Differ Oper Appl 5(2014):69-155, 2014). If the boundary itself has singularities, e.g., conical points or edges, then the symbols are corner-degenerate. In the present paper we study elements of the corresponding corner pseudo-differential calculus.
Verfasserangaben: | Der-Chen ChangGND, Tao Qian, Bert-Wolfgang SchulzeGND |
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DOI: | https://doi.org/10.1007/s11785-014-0424-9 |
ISSN: | 1661-8254 |
ISSN: | 1661-8262 |
Titel des übergeordneten Werks (Englisch): | Complex analysis and operator theory |
Verlag: | Springer |
Verlagsort: | Basel |
Publikationstyp: | Wissenschaftlicher Artikel |
Sprache: | Englisch |
Jahr der Erstveröffentlichung: | 2015 |
Erscheinungsjahr: | 2015 |
Datum der Freischaltung: | 27.03.2017 |
Freies Schlagwort / Tag: | Corner pseudo-differential operators; Ellipticity of corner-degenerate operators; Meromorphic operator-valued symbols |
Band: | 9 |
Ausgabe: | 5 |
Seitenanzahl: | 54 |
Erste Seite: | 1157 |
Letzte Seite: | 1210 |
Fördernde Institution: | NSF [DMS-1203845]; University of Macau [MYRG115(Y1-L4)-FST13-QT]; Hong Kong RGC competitive earmarked research grant [601410] |
Organisationseinheiten: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
Peer Review: | Referiert |