Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves. (15th February 2017)

• Record Type: Journal Article
• Authors: Beretta, Elena; de Hoop, Maarten V; Francini, Elisa; Vessella, Sergio; Zhai, Jian
• Is Part Of: Inverse problems. Volume 33:Number 3(2017:Mar.)
• Publication Date: 2017-02-15
• Subjects: inverse boundary value problem -- uniqueness -- Lipschitz stability -- time-harmonic elastic waves; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/aa5bef
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: We consider the inverse problem of determining the Lamé parameters and the density of a three-dimensional elastic body from the local time-harmonic Dirichlet-to-Neumann map. We prove uniqueness and Lipschitz stability of this inverse problem when the Lamé parameters and the density are assumed to be piecewise constant on a given domain partition.