Uniqueness in the Inverse Boundary Value Problem for Piecewise Homogeneous Anisotropic Elasticity

DOI10.1137/17M1125662zbMath1393.35036arXiv1611.03930OpenAlexW2562639430MaRDI QIDQ4568424

Cătălin I. Cârstea, Gen Nakamura, Naofumi Honda

Publication date: 21 June 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03930

zbMATH Keywords

anisotropic elasticityinverse boundary value problem

Mathematics Subject Classification ID

Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Boundary value problems for second-order elliptic systems (35J57)

Related Items (11)

On Uniqueness of Recovering Coefficients from Localized Dirichlet-to-Neumann Map for Piecewise Homogeneous Piezoelectricity ⋮ Determining Lamé coefficients by the elastic Dirichlet-to-Neumann map on a Riemannian manifold ⋮ Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem ⋮ Extracting discontinuity using the probe and enclosure methods ⋮ Lipschitz stability estimate and reconstruction of Lamé parameters in linear elasticity ⋮ Unique determination of a transversely isotropic perturbation in a linearized inverse boundary value problem for elasticity ⋮ Unique Recovery of Piecewise Analytic Density and Stiffness Tensor from the Elastic-Wave Dirichlet-To-Neumann Map ⋮ Uniqueness for the inverse boundary value problem of piecewise homogeneous anisotropic elasticity in the time domain ⋮ Inverse problem for the Helmholtz equation with Cauchy data: reconstruction with conditional well-posedness driven iterative regularization ⋮ Comments on the determination of the conductivity by boundary measurements ⋮ Local recovery of a piecewise constant anisotropic conductivity in EIT on domains with exposed corners

Cites Work

• Unnamed Item
• Unnamed Item
• Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements
• Semianalytic and subanalytic sets
• Stroh formalism and Rayleigh waves
• Lipschitz stability for the inverse conductivity problem
• Local determination of conductivity at the boundary from the Dirichlet-to-Neumann map
• Lipschitz Stability of an Inverse Boundary Value Problem for a Schrödinger-Type Equation
• Lipschitz continuous dependence of piecewise constant Lamé coefficients from boundary data: the case of non-flat interfaces
• Lipschitz Stability for the Electrical Impedance Tomography Problem: The Complex Case
• Determining conductivity by boundary measurements II. Interior results
• Layer Stripping for a Transversely Isotropic Elastic Medium
• A formula for the fundamental solution of anisotropic elasticity
• Reconstruction of inclusion from boundary measurements
• Uniqueness for the electrostatic inverse boundary value problem with piecewise constant anisotropic conductivities
• Single-logarithmic stability for the Calderón problem with local data

This page was built for publication: Uniqueness in the Inverse Boundary Value Problem for Piecewise Homogeneous Anisotropic Elasticity