We prove the existence of complex geometrical optics solutions for Lipschitz conductivities. Moreover we show that, in dimensions that one can uniquely recover a conductivity from its associated Dirichlet-to-Neumann map or voltage to current map.
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Lassi Päivärinta, Alexander Panchenko, Gunther Uhlmann, Complex geometrical optics solutions for Lipschitz conductivities. Rev. Mat. Iberoam. 19 (2003), no. 1, pp. 57–72