A partial data inverse problem for the electro-magnetic wave equation and application to the related Borg-Levinson theorem. (English) Zbl 1452.35252
Summary: In this article we study the stability in an inverse problem of recovering the magnetic field and the electric potential in a bounded smooth domain from boundary observation of the corresponding wave equation. We prove that the knowledge of the partial Dirichlet-to-Neumann map measured on arbitrary subset of the boundary determines the electric potential and the magnetic field. Next, we apply this result to prove the uniqueness for the multidimensional Borg-Levinson theorem for the electro-magnetic potential from partial data.
MSC:
| 35R30 | Inverse problems for PDEs |
| 35L20 | Initial-boundary value problems for second-order hyperbolic equations |
| 35P05 | General topics in linear spectral theory for PDEs |
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