香蕉视频

Title: Some non-uniqueness results in the Calderon inverse problem with local or disjoint data
Abstract: In dimension 3 or higher, the anisotropic Calderon inverse problem amounts to recovering a Riemannian metric on a compact connected manifold with boundary from the knowledge of the Dirichlet to Neumann operator (modulo diffeomorphisms that fix the boundary). In this talk, I will prove that there is non uniqueness in the Calderon problem when : 1) the Dirichlet and Neumann data are measured on the same proper subset of the boundary provided the metric is only Holder continuous. 2) the Dirichlet and Neumann data are measured on distinct subsets of the boundary (for smooth metrics). This is a joint work with N. Kamran (McGill) and F. Nicoleau (Nantes).


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