We discuss the stability issue for Calderon'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 INVERSE CONDUCTIVITY PROBLEM / G. ALESSANDRINI; S. VESSELLA. - In: ADVANCES IN APPLIED MATHEMATICS. - ISSN 0196-8858. - STAMPA. - 35:(2005), pp. 207-241. [10.1016/j.aam.2004.12.002]
LIPSCHITZ STABILITY FOR INVERSE CONDUCTIVITY PROBLEM
VESSELLA, SERGIO
2005
Abstract
We discuss the stability issue for Calderon'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.
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