The Calderón problem with partial data

Details The Calderón problem with partial data The Calderón problem with partial data

2004-05-26

arxiv.org/abs/math/0405486v3

Mathematics

Analysis of PDEs

Revised version (Nov 5, 2004) fixing a mistake in section 6 and adding an application to the original problem for the conducti

Scientific paper

In this paper we improve an earlier result by Bukhgeim and Uhlmann, by showing that in dimension larger than or equal to three, the knowledge of the Cauchy data for the Schr\"odinger equation measured on possibly very small subsets of the boundary determines uniquely the potential. We follow the general strategy of Bukhgeim and Uhlmann but use a richer set of solutions to the Dirichlet problem.

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