Boundary determination for an inverse problem in elastodynamics

DOI10.1080/03605300008821575zbMath0982.35122OpenAlexW1527142780MaRDI QIDQ4521106

Lizabeth V. Rachele

Publication date: 8 April 2002

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300008821575

zbMATH Keywords

uniquenesselastodynamicsseismologymaterial propertiesDirichlet-to-Neumann mapinhomogeneous isotropic elastic bodymeasurements of displacements

Mathematics Subject Classification ID

Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30) Inverse problems for waves in solid mechanics (74J25)

Related Items (17)

Recovery of Piecewise Smooth Density and Lamé Parameters from High Frequency Exterior Cauchy Data ⋮ Local uniqueness of the density from partial boundary data for isotropic elastodynamics ⋮ Recovery of wave speeds and density of mass across a heterogeneous smooth interface from acoustic and elastic wave reflection operators ⋮ Reconstruction of Lamé Moduli and Density at the Boundary Enabling Directional Elastic Wavefield Decomposition ⋮ Unique continuation and inverse problem for an anisotropic beam bending equation ⋮ Efficient computation of extended surface sources ⋮ Unique continuation for the Lamé system using stabilized finite element methods ⋮ Local recovery of the compressional and shear speeds from the hyperbolic DN map ⋮ On uniqueness in the inverse problem for transversely isotropic elastic media with a disjoint wave mode ⋮ Partial uniqueness and obstruction to uniqueness in inverse problems for anisotropic elastic media ⋮ Uniqueness of the density in an inverse problem for isotropic elastodynamics ⋮ Unique Recovery of Piecewise Analytic Density and Stiffness Tensor from the Elastic-Wave Dirichlet-To-Neumann Map ⋮ The transmission problem in linear isotropic elasticity ⋮ Nonlinear interaction of waves in elastodynamics and an inverse problem ⋮ Uniqueness in Inverse Problems for Elastic Media with Residual Stress ⋮ An inverse problem in elastodynamics: Uniqueness of the wave speeds in the interior ⋮ Recovery of discontinuous Lamé parameters from exterior Cauchy data

Cites Work

• A global uniqueness theorem for an inverse boundary value problem
• Asymptotic solutions of oscillatory initial value problems
• On the propagation of singularities for pseudo-differential operators of principal type
• Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
• Global uniqueness for an inverse boundary problem arising in elasticity
• An inverse problem in elastodynamics: Uniqueness of the wave speeds in the interior
• Asymptotic solutions of the elastic wave equation and reflected waves near boundaries
• Global uniqueness for a two-dimensional inverse boundary value problem
• Exact and asymptotic solutions of the cauchy problem
• Determining conductivity by boundary measurements
• Inverse boundary value problems at the boundary—continuous dependence
• Identification of Lame Parameters by Boundary Measurements

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