Uniqueness and Lipschitz stability for the identification of Lam\'e parameters from boundary measurements

By Elena Beretta, Elisa Francini, Sergio Vessella. 2013

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In this paper we consider the problem of determining an unknown pair $\lambda$, $\mu$ 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 $\lambda$ and $\mu$ from the Dirichlet to Neumann map.

Subfields: Computational Theory and Mathematics, Mathematical Physics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/a58ac245f3e460046fdc7b5de6bc5203153b0e5c