Integral stability of Calder\'on inverse conductivity problem in the   plane
  It is proved that, in two dimensions, the Calder\'on inverse conductivity problem in Lipschitz domains is stable in the $L^p$ sense when the conductivities are uniformly bounded in any fractional Sobolev space $W^{\alpha,p}$ $\alpha>0, 1<p<\infty$. 
Albert Clop, Daniel Faraco, Alberto Ruiz