Alessandrini, G,de Hoop, MV,Gaburro, R,Sincich, E

2017

May

Journal De Mathematiques Pures Et Appliquees

Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities

Published

()

Electrical impedance tomography Lipschitz stability Piecewise linear conductivities ELECTRICAL-IMPEDANCE TOMOGRAPHY LESS REGULAR CONDUCTIVITIES DC-RESISTIVITY CALDERON PROBLEM ELLIPTIC-EQUATIONS GLOBAL UNIQUENESS PLANE SCHLUMBERGER DEPTH

107

638

664

We consider the electrostatic inverse boundary value problem also known as electrical impedance tomography (EIT) for the case where the conductivity is a piecewise linear function on a domain Omega subset of R-n and we show that a Lipschitz stability estimate for the conductivity in terms of the local Dirichlet-to-Neumann map holds true. (C) 2016 Elsevier Masson SAS. All rights reserved.

10.1016/j.matpur.2016.10.001