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.
| Original language | English |
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| Journal | Journal of Inverse and Ill-Posed Problems |
| Volume | 13 |
| Issue number | 5 |
| Pages (from-to) | 413-423 |
| Number of pages | 11 |
| ISSN | 0928-0219 |
| Publication status | Published - 2006 |