Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements | Zendy

Elena Beretta | Zendy; Elisa Francini | Zendy; Sergio Vessella | Zendy

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

Author(s) -

Elena Beretta,

Elisa Francini,

Sergio Vessella

Publication year - 2014

Publication title -

inverse problems and imaging

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.755

H-Index - 40

eISSN - 1930-8345

pISSN - 1930-8337

DOI - 10.3934/ipi.2014.8.611

Subject(s) - uniqueness , lipschitz continuity , piecewise , mathematics , constant (computer programming) , neumann boundary condition , dirichlet distribution , mathematical analysis , boundary (topology) , lambda , pure mathematics , boundary value problem , computer science , physics , optics , programming language

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.

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