Determination of the density in the linear elastic wave equation

We study the inverse boundary value problem for the linear elastic wave equation in three-dimensional isotropic medium. We show that both the Lamé parameters and the density can be uniquely recovered from the boundary measurements under the strictly convex foliation condition.

Publication Details

Journal
ArXiv.org
Published
2025-03-17
Primary Topic
Numerical methods in inverse problems
Type
article
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article

Determination of the density in the linear elastic wave equation

ArXiv.org
Numerical methods in inverse problems
article

Determination of the density in the linear elastic wave equation

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Abstract

We study the inverse boundary value problem for the linear elastic wave equation in three-dimensional isotropic medium. We show that both the Lamé parameters and the density can be uniquely recovered from the boundary measurements under the strictly convex foliation condition.

ArXiv.org
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Numerical methods in inverse problems
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Determination of the density in the linear elastic wave equation · ArXiv.org (2025) | TGRS Research Map | TGRS