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Stability of Calderón inverse Conductivity Problem in the plane
Tomeu Barceló, Daniel Faraco and Alberto Ruiz
It is proved that, in two dimensions, Calderón inverse conductivity problem is stable when the conductivities are Hölder continuous with any exponent α > 0. The approach is based on reducing the conductivity equation to a complex Beltrami equation as in Astala-Päivärinta proof of the uniqueness in Calderón problem for L∞conductivities.