Loading...
Please wait, while we are loading the content...
Similar Documents
The Calderón problem with partial data in two dimensions
| Content Provider | CiteSeerX |
|---|---|
| Author | Imanuvilov, Oleg Yu. Yamamoto, Masahiro Uhlmann, Gunther |
| Abstract | Abstract. We prove for a two dimensional bounded domain that the Cauchy data for the Schrödinger equation measured on an arbitrary open subset of the boundary determines uniquely the potential. This implies, for the conductivity equation, that if we measure the current fluxes at the boundary on an arbitrary open subset of the boundary produced by voltage potentials supported in the same subset, we can determine uniquely the conductiv-ity. We use Carleman estimates with degenerate weight functions to construct appropriate complex geometrical optics solutions to prove the results. 1. |
| File Format | |
| Journal | J. Amer. Math. Soc |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |