Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities
Analysis of PDEs
2016-11-03 v1
Abstract
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 and we show that a Lipschitz stability estimate for the conductivity in terms of the local Dirichlet-to-Neumann map holds true.
Cite
@article{arxiv.1509.06277,
title = {Lipschitz stability for the electrostatic inverse boundary value problem with piecewise linear conductivities},
author = {Giovanni Alessandrini and Maarten V. de Hoop and Romina Gaburro and Eva Sincich},
journal= {arXiv preprint arXiv:1509.06277},
year = {2016}
}
Comments
28 pages. arXiv admin note: text overlap with arXiv:1405.0475