Abstract
We consider the inverse boundary value problem concerning the determination and reconstruction of an unknown potential in a Schrödinger equation in a bounded domain from measurements on the boundary of the domain. For the special case of a small potential homogeneous of degree zero we show that one boundary measurement determines the potential uniquely. Moreover, we give a reconstruction procedure.
| Originalsprog | Engelsk |
|---|---|
| Tidsskrift | Journal of Inverse and Ill-Posed Problems |
| Vol/bind | 13 |
| Udgave nummer | 5 |
| Sider (fra-til) | 413-423 |
| Antal sider | 11 |
| ISSN | 0928-0219 |
| Status | Udgivet - 2006 |