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arXiv · 1508.07102

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

Katya Krupchyk·Gunther Uhlmann
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Abstract

We extend a global uniqueness result for the Calderón problem with partial data, due to Kenig-Sjöstrand-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 in an $L^2$ sense.

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Katya Krupchyk, Gunther Uhlmann. 2015-09-04. The Calderón problem with partial data for conductivities with $3/2$ derivatives. https://doi.org/10.1007/s00220-016-2666-z

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