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arXiv · 1411.8001

Global uniqueness for the Calderón problem with Lipschitz conductivities

Pedro Caro·Keith Rogers
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Abstract

We prove uniqueness for Calderón's problem with Lipschitz conductivities in higher dimensions. Combined with the recent work of Haberman, who treated the three and four dimensional cases, this confirms a conjecture of Uhlmann. Our proof builds on the work of Sylvester and Uhlmann, Brown, and Haberman and Tataru who proved uniqueness for $C^1$ conductivities and Lipschitz conductivities sufficiently close to the identity.

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Pedro Caro, Keith Rogers. 2016-02-29. Global uniqueness for the Calderón problem with Lipschitz conductivities. https://doi.org/10.1017/fmp.2015.9

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