Abstract
We consider the recovery of small inclusions in a two-layered and an arbitrary multi-layered medium for the elastic equation, respectively. We use layer potential techniques and asymptotic analysis to obtain asymptotic expansions of the perturbed elastic field in a two-layered and an arbitrary multi-layered medium, respectively. Furthermore, we show the uniqueness of the recovery of the locations and Lamé constants of small inclusions through a single measurement.
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