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 |
|---|---|
| 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 |
