Lipschitz stability for the inverse conductivity problem for a conformal class of anisotropic conductivities. (6th January 2015)

• Record Type: Journal Article
• Authors: Gaburro, Romina; Sincich, Eva
• Is Part Of: Inverse problems. Volume 31:Number 1(2015:Jan.)
• Publication Date: 2015-01-06
• Subjects: Lipschitz stability -- anisotropic conductivity -- conformal class; 35R30 -- 35R25 -- 31B20; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/0266-5611/31/1/015008
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: We consider the stability issue of the inverse conductivity problem for a conformal class of anisotropic conductivities in terms of the local Dirichlet–Neumann map. We extend here the stability result obtained by Alessandrini and Vessella (Alessandrini G and Vessella S 2005 Lipschitz stability for the inverse conductivity problem Adv. Appl. Math. 35 207–241 ), where the authors considered the piecewise constant isotropic case.