Lipschitz stability for the electrical impedance tomography problem: The complex case

where γ is a complex valued L∞ coefficient, satisfying a strong ellipticity condition. In electrical impedance tomography, γ represents the admittance of a conducting body. An interesting issue is the one of determining γ uniquely and in a stable way from the knowledge of the Dirichlet-to-Neumann map {n-ary logical and}<inf>γ</inf>. Under the above general assumptions this problem is an open issue. In this article we prove that, if we assume a priori that γ is piecewise constant with a bounded known number of unknown values, then Lipschitz continuity of γ from {n-ary logical and}<inf>γ</inf> holds. Copyright © Taylor & Francis Group, LLC.