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We extend a global uniqueness result for the Calder\'on problem with partialdata, due to Kenig-Sj\"ostrand-Uhlmann, to the case of less regularconductivities. Specifically, we show that in dimensions $n\ge 3$, theknowledge of the Diricihlet-to-Neumann map, measured on possibly very smallsubsets of the boundary, determines uniquely a conductivity having essentially$3/2$ derivatives in an $L^2$ sense.

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