Oleg Yu. Imanuvilov, Gunther Uhlmann, masahiro Yamamoto
Published 2008-09-18Version 1
We show in two dimensions that measuring Dirichlet data for the conductivity equation on an open subset of the boundary and, roughly speaking, Neumann data in slightly larger set than the complement uniquely determines the conductivity on a simply connected domain. The proof is reduced to show a similar result for the Schr\"odinger equation. Using Carleman estimates with degenerate weights we construct appropriate complex geometrical optics solutions to prove the results.
Reconstruction in the Calderon Problem with Partial Data
Recent progress in the Calderon problem with partial data
The Calderon problem with partial data on manifolds and applications
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