Inverse problems with partial data for a Dirac system: a Carleman estimate approach
| dc.creator | Salo, Mikko | |
| dc.creator | Tzou, Leo | |
| dc.date | 2009-02-19 | |
| dc.date.accessioned | 2026-07-07T12:44:11Z | |
| dc.date.available | 2026-07-07T12:44:11Z | |
| dc.description | We prove that the material parameters in a Dirac system with magnetic and electric potentials are uniquely determined by measurements made on a possibly small subset of the boundary. The proof is based on a combination of Carleman estimates for first and second order systems, and involves a reduction of the boundary measurements to the second order case. For this reduction a certain amount of decoupling is required. To effectively make use of the decoupling, the Carleman estimates are established for coefficients which may become singular in the asymptotic limit. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/0902.3383 | |
| dc.identifier | http://arxiv.org/abs/0902.3383 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/220683 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.title | Inverse problems with partial data for a Dirac system: a Carleman estimate approach | |
| dc.type | text |