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

Elena Beretta; Elisa Francini; Sergio Vessella

doi:10.3934/ipi.2014.8.611

Article Contents

2014, Volume 8, Issue 3: 611-644. Doi: 10.3934/ipi.2014.8.611

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

1.
Dipartimento di Matematica Francesco Brioschi, Piazza Leonardo da Vinci, 32, 20133 Milano
2.
Dipartimento di Matematica e Informatica, Università di Firenze, viale Morgagni, 67A, 50134 Firenze

Received: November 30, 2013

Revised: April 30, 2014

Published: July 2014

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Abstract

In this paper we consider the problem of determining an unknown pair $\lambda$, $\mu$ of piecewise constant Lamé 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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Mathematics Subject Classification: Primary: 35R30, 35J57; Secondary: 35R05.

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