Boundary determination of the Lamé moduli for the isotropic elasticity system

We consider the inverse boundary value problem of determining the Lamé moduli of an isotropic, static elasticity equations of system at the boundary from the localized Dirichlet-to-Neumann map. Assuming appropriate local regularity assumptions as weak as possible on the Lamé moduli and on the bounda...

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Bibliographic Details
Published in:Inverse problems 2017-11, Vol.33 (12), p.125004
Main Authors: Lin, Yi-Hsuan, Nakamura, Gen
Format: Article
Language:English
Subjects:
boundary determination
Dirichlet-to-Neumann map
inverse boundary value problem
isotropic elasticity system
Stroh formalism
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Summary:We consider the inverse boundary value problem of determining the Lamé moduli of an isotropic, static elasticity equations of system at the boundary from the localized Dirichlet-to-Neumann map. Assuming appropriate local regularity assumptions as weak as possible on the Lamé moduli and on the boundary, we give explicit pointwise reconstruction formulae of the Lamé moduli and their higher order derivatives at the boundary from the localized Dirichlet-to-Neumann map.
ISSN:0266-5611
1361-6420
DOI:10.1088/1361-6420/aa942d