arXiv:1412.3465 Abstract | arXiv Analytics

arXiv:1412.3465 [math.AP]Abstract References Reviews Resources

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

Published 2014-12-10Version 1

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.

Comments: 24 pages, 2 figures

Categories: math.AP

Subjects: 35M30, 35J08

Keywords: inverse boundary value problem, time-harmonic elastic waves, lipschitz stability, uniqueness, inverse problem

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