Stability of the Calderón problem for less regular conductivities

Pedro Caro, Andoni García, Juan Manuel Reyes

Published 2012-05-11, updated 2012-08-13Version 2

In these notes we prove log-type stability for the Calder\'on problem with conductivities in $ C^{1,\varepsilon}(\bar{\Omega}) $. We follow the lines of a recent work by Haberman and Tataru in which they prove uniqueness for $ C^1(\bar{\Omega}) $.