Boundary symbols in the cone algebra
- Boundary value problems on a smooth manifold X with boundary have the structure of edge problems. Operators A are described in terms of a principal symbolic hierarchy, namely, according to the stratification of X, with the interior and the boundary We focus here on operators with and without the transmission property and establish a new relationship between boundary symbols and operators in the cone calculus transversal to the boundary.
| Author details: | Mohammad Pirhayati |
|---|---|
| DOI: | https://doi.org/10.1007/s11868-015-0123-y |
| 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: | 2015 |
| Publication year: | 2015 |
| Release date: | 2017/03/27 |
| Tag: | Cone; Edge and corner pseudo-differential operators; Ellipticity of corner-degenerate operators; Iterated corner asymptotics of solutions |
| Volume: | 6 |
| Issue: | 3 |
| Number of pages: | 33 |
| First page: | 307 |
| Last Page: | 339 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
