Uniqueness and stability for the inverse medium problem with internal data. (English) Zbl 1200.35333
Summary: We study the inverse medium problem with internal data. We show that knowledge of one real internal data uniquely determines the medium. A local Lipschitz stability of the reconstruction is also derived.
MSC:
| 35R30 | Inverse problems for PDEs |
| 35J05 | Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation |
| 35A02 | Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness |
| 78A46 | Inverse problems (including inverse scattering) in optics and electromagnetic theory |
| 35B35 | Stability in context of PDEs |
