Uniqueness in Calderon's problem with Lipschitz conductivities

Details Uniqueness in Calderon's problem with Lipschitz conductivities Uniqueness in Calderon's problem with Lipschitz conductivities

2011-08-30

arxiv.org/abs/1108.6068v1

Mathematics

Analysis of PDEs

14 pages

Scientific paper

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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