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.

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

BERETTA, ELENA;
2017-01-01

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.
2017
inverse boundary value problem, uniqueness, Lipschitz stability, time-harmonic elastic waves
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1027965
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