Global Uniqueness for The Calderón Problem with Lipschitz Conductivities
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We prove uniqueness for the Calderón 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.