Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves

Elena Beretta; Maarten V. De Hoop; Elisa Francini; Sergio Vessella; Jian Zhai

doi:10.1088/1361-6420/aa5bef

Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves

Elena Beretta, Maarten V. De Hoop, Elisa Francini, Sergio Vessella, Jian Zhai

Mathematics

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

Abstract

We consider the inverse problem of determining the Lamé parameters and the density of a three-dimensional elastic body from the local time-harmonic Dirichlet-to-Neumann map. We prove uniqueness and Lipschitz stability of this inverse problem when the Lamé parameters and the density are assumed to be piecewise constant on a given domain partition.

Original language	English (US)
Article number	035013
Journal	Inverse Problems
Volume	33
Issue number	3
DOIs	https://doi.org/10.1088/1361-6420/aa5bef
State	Published - Feb 15 2017

Keywords

Lipschitz stability
inverse boundary value problem
time-harmonic elastic waves
uniqueness

ASJC Scopus subject areas

Theoretical Computer Science
Signal Processing
Mathematical Physics
Computer Science Applications
Applied Mathematics

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10.1088/1361-6420/aa5bef

Cite this

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abstract = "We consider the inverse problem of determining the Lam{\'e} parameters and the density of a three-dimensional elastic body from the local time-harmonic Dirichlet-to-Neumann map. We prove uniqueness and Lipschitz stability of this inverse problem when the Lam{\'e} parameters and the density are assumed to be piecewise constant on a given domain partition.",

keywords = "Lipschitz stability, inverse boundary value problem, time-harmonic elastic waves, uniqueness",

author = "Elena Beretta and {De Hoop}, {Maarten V.} and Elisa Francini and Sergio Vessella and Jian Zhai",

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AU - Beretta, Elena

AU - De Hoop, Maarten V.

AU - Francini, Elisa

AU - Vessella, Sergio

AU - Zhai, Jian

PY - 2017/2/15

Y1 - 2017/2/15

N2 - We consider the inverse problem of determining the Lamé parameters and the density of a three-dimensional elastic body from the local time-harmonic Dirichlet-to-Neumann map. We prove uniqueness and Lipschitz stability of this inverse problem when the Lamé parameters and the density are assumed to be piecewise constant on a given domain partition.

AB - We consider the inverse problem of determining the Lamé parameters and the density of a three-dimensional elastic body from the local time-harmonic Dirichlet-to-Neumann map. We prove uniqueness and Lipschitz stability of this inverse problem when the Lamé parameters and the density are assumed to be piecewise constant on a given domain partition.

KW - Lipschitz stability

KW - inverse boundary value problem

KW - time-harmonic elastic waves

KW - uniqueness

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DO - 10.1088/1361-6420/aa5bef

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JO - Inverse Problems

JF - Inverse Problems

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M1 - 035013

ER -

Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves

Abstract

Keywords

ASJC Scopus subject areas

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