Forward and inverse scattering on manifolds with asymptotically cylindrical ends
| dc.creator | Isozaki, Hiroshi | |
| dc.creator | Kurylev, Yaroslav | |
| dc.creator | Lassas, Matti | |
| dc.date | 2009-05-11 | |
| dc.date.accessioned | 2026-07-07T13:13:40Z | |
| dc.date.available | 2026-07-07T13:13:40Z | |
| dc.description | We study an inverse problem for a non-compact Riemannian manifold whose ends have the following properties : On each end, the Riemannian metric is assumed to be a short-range perturbation of the metric of the form $(dy)^2 + h(x,dx)$, $h(x,dx)$ being the metric of some compact manifold of codimension 1. Moreover one end is exactly cylindrical, i.e. the metric is equal to $(dy)^2 + h(x,dx)$. Given two such manifolds having the same scattering matrix on that exactly cylindrical end for all energy, we show that these two manifolds are isometric. | |
| dc.identifier | https://arxiv.org/abs/0905.1571 | |
| dc.identifier | http://arxiv.org/abs/0905.1571 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229969 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35P25,81U40 | |
| dc.title | Forward and inverse scattering on manifolds with asymptotically cylindrical ends | |
| dc.type | text |