Uniqueness in Calderon's problem with Lipschitz conductivities
Abstract
We use Xs,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 C1 conductivities.
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