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: | |
Data di pubblicazione: | 2005 |
Rivista: | |
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 |
Appare nelle tipologie: | 1.1 Articolo in Rivista |
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