Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves

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.

arXiv comment24 pages, 2 figures

References in corpus (3)

• The stability for the Cauchy problem for elliptic equations
• Stable determination of an inclusion in an elastic body by boundary measurements (unabridged)
• A convergence analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints