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arXiv · 1108.6068

Uniqueness in Calderon's problem with Lipschitz conductivities

Boaz Haberman·Daniel Tataru
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Abstract

We use X^{s,b}-inspired spaces to prove a uniqueness result for Calderon's problem in a Lipschitz domain under the assumption that the conductivity is Lipschitz. For Lipschitz conductivities, we obtain uniqueness for conductivities close to the identity in a suitable sense. We also prove uniqueness for arbitrary C^1 conductivities.

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Boaz Haberman, Daniel Tataru. 2011-08-30. Uniqueness in Calderon's problem with Lipschitz conductivities. https://doi.org/10.1215/00127094-2019591

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