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Ellipticity on spaces with higher singularities
- We study corner-degenerate pseudo-differential operators of any singularity order and develop ellipticity based on the principal symbolic hierarchy, associated with the stratification of the underlying space. We construct parametrices within the calculus and discuss the aspect of additional trace and potential conditions along lower-dimensional strata.
Author details: | Der-Chen ChangGND, Bert-Wolfgang SchulzeGND |
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DOI: | https://doi.org/10.1007/s11425-016-0519-9 |
ISSN: | 1674-7283 |
ISSN: | 1869-1862 |
Title of parent work (English): | Science China Mathematics |
Publisher: | Science China Press |
Place of publishing: | Beijing |
Publication type: | Article |
Language: | English |
Date of first publication: | 2017/08/09 |
Publication year: | 2017 |
Release date: | 2021/02/10 |
Tag: | Fourier and Mellin transforms; operator-valued symbols; pseudo-differential operators |
Volume: | 60 |
Issue: | 11 |
Number of pages: | 24 |
First page: | 2053 |
Last Page: | 2076 |
Funding institution: | National Science Foundation of USA [DMS-1408839]; McDevitt Endowment Fund at Georgetown University |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Peer review: | Referiert |