Fixed energy inverse problem for exponentially decreasing potentials
| dc.creator | Uhlmann, Gunther | |
| dc.creator | Vasy, Andras | |
| dc.date | 2003-07-17 | |
| dc.date.accessioned | 2026-07-07T04:59:45Z | |
| dc.date.available | 2026-07-07T04:59:45Z | |
| dc.description | In this paper we show that in two-body scattering the scattering matrix at a fixed energy determines real-valued exponentially decreasing potentials. This result has been proved by Novikov previously, see also the work of Novikov and Khenkin using a d-bar-equation. We present a different method, which combines a density argument and real analyticity in part of the complex momentum. The latter has been noted by Novikov and Khenkin; here we give a short proof using contour deformations. In the addendum to the paper we also supply a reference to the work of Eskin and Ralston that did not appear in the published paper since we were unaware of the relevant aspects of their work. | |
| dc.description | Addendum added, on July 17, 2003, to the published version | |
| dc.identifier | https://arxiv.org/abs/math/0307253 | |
| dc.identifier | http://arxiv.org/abs/math/0307253 | |
| dc.identifier | Methods and Applications of Analysis 9:239-248 (2002) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68113 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 81U40 | |
| dc.title | Fixed energy inverse problem for exponentially decreasing potentials | |
| dc.type | text |