In this paper we consider the problem of determining an unknown pair λ, μ of piecewise constant Lam\'{e} parameters inside a three dimensional body from the Dirichlet to Neumann map. We prove uniqueness and Lipschitz continuous dependence of λ and μ from the Dirichlet to Neumann map.
Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements / Beretta Elena; Francini Elisa; Vessella Sergio. - In: INVERSE PROBLEMS AND IMAGING. - ISSN 1930-8337. - STAMPA. - 8:(2014), pp. 611-644. [10.3934/ipi.2014.8.611]
Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements
FRANCINI, ELISA;VESSELLA, SERGIO
2014
Abstract
In this paper we consider the problem of determining an unknown pair λ, μ of piecewise constant Lam\'{e} parameters inside a three dimensional body from the Dirichlet to Neumann map. We prove uniqueness and Lipschitz continuous dependence of λ and μ from the Dirichlet to Neumann map.
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