The Calder\'on problem with partial data for conductivities with $3\mathrm{/}2$ derivatives

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 $3\mathrm{/}2$ derivatives in an $L^2$ sense.