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Asymptotic parametrices of elliptic edge operators
- We study operators on singular manifolds, here of conical or edge type, and develop a new general approach of representing asymptotics of solutions to elliptic equations close to the singularities. We introduce asymptotic parametrices, using tools from cone and edge pseudo-differential algebras. Our structures are motivated by models of many-particle physics with singular Coulomb potentials that contribute higher order singularities in Euclidean space, determined by the number of particles.
Author details: | H. -J. Flad, Gohar Harutyunyan, Bert-Wolfgang SchulzeGND |
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DOI: | https://doi.org/10.1007/s11868-016-0159-7 |
ISSN: | 1662-9981 |
ISSN: | 1662-999X |
Title of parent work (English): | Journal of pseudo-differential operators and applications |
Publisher: | Springer |
Place of publishing: | Basel |
Publication type: | Article |
Language: | English |
Year of first publication: | 2016 |
Publication year: | 2016 |
Release date: | 2020/03/22 |
Tag: | Asymptotics of solutions; Cone and edge pseudo-differential operators; Ellipticity of edge-degenerate operators; Meromorphic operator-valued symbols |
Volume: | 7 |
Number of pages: | 43 |
First page: | 321 |
Last Page: | 363 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
Peer review: | Referiert |