Uniqueness in Calderon's problem with Lipschitz conductivities
Analysis of PDEs
2019-12-19 v2
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.
Cite
@article{arxiv.1108.6068,
title = {Uniqueness in Calderon's problem with Lipschitz conductivities},
author = {Boaz Haberman and Daniel Tataru},
journal= {arXiv preprint arXiv:1108.6068},
year = {2019}
}
Comments
14 pages