Lipschitz stability for the inverse conductivity problem for a conformal   class of anisotropic conductivities
  We consider the stability issue of the inverse conductivity problem for a conformal class of anisotropic conductivities in terms of the local Dirichlet-to-Neumann map. We extend here the stability result obtained by Alessandrini and Vessella in Advances in Applied Mathematics 35:207-241, where the authors considered the piecewise constant isotropic case. 
Romina Gaburro and Eva Sincich
math.AP