American Institute of Mathematical Sciences

February  2016, 10(1): 247-262. doi: 10.3934/ipi.2016.10.247

A partial data result for less regular conductivities in admissible geometries

 1 University of Chicago, 5734 S. University Avenue, Chicago, IL 60637, United States

Received  December 2014 Revised  August 2015 Published  February 2016

We consider the Calderón problem with partial data in certain admissible geometries, that is, on compact Riemannian manifolds with boundary which are conformally embedded in a product of the Euclidean line and a simple manifold. We show that measuring the Dirichlet--to--Neumann map on roughly half of the boundary determines a conductivity that has essentially 3/2 derivatives. As a corollary, we strengthen a partial data result due to Kenig, Sjöstrand, and Uhlmann.
Citation: Casey Rodriguez. A partial data result for less regular conductivities in admissible geometries. Inverse Problems & Imaging, 2016, 10 (1) : 247-262. doi: 10.3934/ipi.2016.10.247
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