The determinant of the Dirichlet-to-Neumann map for surfaces with boundary
| dc.creator | Guillarmou, Colin | |
| dc.creator | Guillopé, Laurent | |
| dc.date | 2007-01-25 | |
| dc.date | 2007-08-02 | |
| dc.date.accessioned | 2026-07-07T08:21:48Z | |
| dc.date.available | 2026-07-07T08:21:48Z | |
| dc.description | For any orientable compact surface with boundary, we compute the regularized determinant of the Dirichlet-to-Neumann (DN) map in terms of particular values of dynamical zeta functions by using natural uniformizations, one due to Mazzeo-Taylor, the other to Osgood-Phillips-Sarnak. We also relate in any dimension the DN map for the Yamabe operator to the scattering operator for a conformally compact related problem by using uniformization. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0701727 | |
| dc.identifier | http://arxiv.org/abs/math/0701727 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135439 | |
| dc.subject | Spectral Theory | |
| dc.subject | 11M36, 58J50 | |
| dc.title | The determinant of the Dirichlet-to-Neumann map for surfaces with boundary | |
| dc.type | text |