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.



Titolo: Lipschitz Stability for the Inverse Conductivity Problem
Autori: 
ALESSANDRINI, GIOVANNI
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Data di pubblicazione: 2005
Rivista: 
ADVANCES IN APPLIED MATHEMATICS  
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.
Handle: http://hdl.handle.net/11368/1696094
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