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