The Calderón problem with partial data for conductivities with $3/2$ derivatives

Katya Krupchyk, Gunther Uhlmann

Published 2015-08-28Version 1

We extend a global uniqueness result for the Calder\'on problem with partial data, due to Kenig-Sj\"ostrand-Uhlmann, to the case of less regular conductivities. Specifically, we show that in dimensions $n\ge 3$, the knowledge of the Diricihlet-to-Neumann map, measured on possibly very small subsets of the boundary, determines uniquely a conductivity having essentially $3/2$ derivatives.