Uniqueness and lipschitz stability for the identification of Lamé parameters from boundary measurements

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Abstract

In this paper we consider the problem of determining an unknown pair λ, μ of piecewise constant Lamé 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. © 2014 American Institute of Mathematical Sciences.

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Beretta, E., Francini, E., & Vessella, S. (2014). Uniqueness and lipschitz stability for the identification of Lamé parameters from boundary measurements. Inverse Problems and Imaging, 8(3), 611–644. https://doi.org/10.3934/ipi.2014.8.611

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