Calderon inverse Problem for the Schrodinger Operator on Riemann Surfaces
| dc.creator | Guillarmou, Colin | |
| dc.creator | Tzou, Leo | |
| dc.date | 2009-04-24 | |
| dc.date.accessioned | 2026-07-07T13:08:25Z | |
| dc.date.available | 2026-07-07T13:08:25Z | |
| dc.description | On a fixed smooth compact Riemann surface with boundary $(M_0,g)$, we show that the Cauchy data space (or Dirichlet-to-Neumann map $\mc{N}$) of the Schrödinger operator $Δ+V$ with $V\in C^2(M_0)$ determines uniquely the potential $V$. We also discuss briefly the corresponding consequences for potential scattering at 0 frequency on Riemann surfaces with asymptotically Euclidean or asymptotically hyperbolic ends. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/0904.3804 | |
| dc.identifier | http://arxiv.org/abs/0904.3804 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228413 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35R30 | |
| dc.title | Calderon inverse Problem for the Schrodinger Operator on Riemann Surfaces | |
| dc.type | text |