The edge calculus of singularity order >3
- We study Mellin pseudo-differential algebras on singular straight cones and manifolds with singularity of order >= 3. Those are necessary to express parametrices of elliptic differential operators with a corresponding cornerdegenerate behavior, and we obtain regularity in weighted spaces.
Author details: | Wannarut RungrottheeraGND, Der-Chen ChangGND, Bert-Wolfgang SchulzeGND |
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ISSN: | 1345-4773 |
ISSN: | 1880-5221 |
Title of parent work (English): | Journal of nonlinear and convex analysis : an international journal |
Publisher: | Yokohama Publishers |
Place of publishing: | Yokohama |
Publication type: | Conference Proceeding |
Language: | English |
Date of first publication: | 2020/11/01 |
Publication year: | 2020 |
Release date: | 2024/01/19 |
Tag: | Mellin; Pseudo-differential algebras; operator calculus; singular manifolds; symbols |
Volume: | 21 |
Issue: | 2 |
Number of pages: | 15 |
First page: | 387 |
Last Page: | 401 |
Funding institution: | China Medical UniversityChina Medical University; NSFNational Science; Foundation (NSF) [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 |