Global uniqueness for the Calder\'on problem with Lipschitz conductivities
Analysis of PDEs
2016-03-01 v2 Classical Analysis and ODEs
Abstract
We prove uniqueness for Calder\'on's 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 conductivities and Lipschitz conductivities sufficiently close to the identity.
Cite
@article{arxiv.1411.8001,
title = {Global uniqueness for the Calder\'on problem with Lipschitz conductivities},
author = {Pedro Caro and Keith Rogers},
journal= {arXiv preprint arXiv:1411.8001},
year = {2016}
}