We discuss the stability issue for Calderón's inverse conductivity problem, also known as Electrical Impedance Tomography. It is well known that this problem is severely ill-posed. In this paper we prove that if it is a-priori known that the conductivity is piecewise constant with a bounded number of unknown values, then a Lipschitz stability estimate holds.
Lipschitz Stability for the Inverse Conductivity Problem
ALESSANDRINI, GIOVANNI;
2005-01-01
Abstract
We discuss the stability issue for Calderón's inverse conductivity problem, also known as Electrical Impedance Tomography. It is well known that this problem is severely ill-posed. In this paper we prove that if it is a-priori known that the conductivity is piecewise constant with a bounded number of unknown values, then a Lipschitz stability estimate holds.File in questo prodotto:
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