Identification of Lame coefficients from boundary observations

DOI10.1088/0266-5611/7/3/003zbMath0737.35139OpenAlexW2049779415MaRDI QIDQ3974444

Masayuki Akamatsu, Gen Nakamura, Stanly L. Steinberg

Publication date: 25 June 1992

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/7/3/003

zbMATH Keywords

stabilityuniquenesspseudodifferential techniquesidentification of Lamé coefficients

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Inverse problems for PDEs (35R30) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (12)

Recovering a large number of diffusion constants in a parabolic equation from energy measurements ⋮ Uniqueness for inverse boundary value problems by Dirichlet-to-Neumann map on subboundaries ⋮ Recovering time-dependent diffusion coefficients in a nonautonomous parabolic equation from energy measurements ⋮ Determining Lamé coefficients by the elastic Dirichlet-to-Neumann map on a Riemannian manifold ⋮ On the identification of Lamé parameters in linear isotropic elasticity via a weighted self-guided TV-regularization method ⋮ Extracting discontinuity using the probe and enclosure methods ⋮ Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements ⋮ Stroh formalism and Rayleigh waves ⋮ Lipschitz stability estimate and reconstruction of Lamé parameters in linear elasticity ⋮ On reconstruction of Lamé coefficients from partial Cauchy data ⋮ Multifrequency Iterative Methods for the Inverse Medium Scattering Problems in Elasticity ⋮ Sensitivity analysis for some inverse problems in linear elasticity via minimax differentiability

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