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

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

Elena Beretta, Elisa Francini, Sergio Vessella

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	611-644
Number of pages	34
Journal	Inverse Problems and Imaging
Volume	8
Issue number	3
DOIs	https://doi.org/10.3934/ipi.2014.8.611
State	Published - 2014

Keywords

Inverse boundary value problem
Lamé System
Lipschitz continuous dependence
Piecewise constant coefficients

ASJC Scopus subject areas

Analysis
Modeling and Simulation
Discrete Mathematics and Combinatorics
Control and Optimization

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10.3934/ipi.2014.8.611

Cite this

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title = "Uniqueness and lipschitz stability for the identification of Lam{\'e} parameters from boundary measurements",

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.",

keywords = "Inverse boundary value problem, Lam{\'e} System, Lipschitz continuous dependence, Piecewise constant coefficients",

author = "Elena Beretta and Elisa Francini and Sergio Vessella",

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doi = "10.3934/ipi.2014.8.611",

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AU - Francini, Elisa

AU - Vessella, Sergio

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N2 - 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.

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KW - Inverse boundary value problem

KW - Lamé System

KW - Lipschitz continuous dependence

KW - Piecewise constant coefficients

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JO - Inverse Problems and Imaging

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

Abstract

Keywords

ASJC Scopus subject areas

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