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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.

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Author details:Der-Chen ChangGND, Bert-Wolfgang SchulzeGND
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
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