We consider the inverse problem of determining the Lam'{e} 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 Lam'{e} parameters and the density are assumed to be piecewise constant on a given domain partition.
Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves / Elena Beretta; Maarten V. de Hoop; Elisa Francini; Sergio Vessella; Jian Zhai. - In: INVERSE PROBLEMS. - ISSN 0266-5611. - STAMPA. - 33:(2017), pp. 035013.1-035013.27. [10.1088/1361-6420/aa5bef]
Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves
FRANCINI, ELISA;VESSELLA, SERGIO;
2017
Abstract
We consider the inverse problem of determining the Lam'{e} 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 Lam'{e} parameters and the density are assumed to be piecewise constant on a given domain partition.
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