Unique determination by a single far-field measurement for an inverse elastic problem

DOI10.3934/IPI.2024020MaRDI QIDQ6617212

Ruixiang Tang, Jiexin Tang, Huai-An Diao, Hongyu Liu

Publication date: 10 October 2024

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

zbMATH Keywords

corner singularityinverse elastic scatteringunique identifiabilitysingle far-field measurementgeneralized transmission boundary conditionpolygonal-nest and polygonal-cell structure

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Reconstruction of cracks in an inhomogeneous anisotropic elastic medium.
• Direct and inverse elastic scattering from anisotropic media
• The analysis of linear partial differential operators. II: Differential operators with constant coefficients
• Further results on generalized Holmgren's principle to the Lamé operator and applications
• Identification of obstacles using only the scattered \(P\)-waves or the scattered \(S\)-waves
• Unique continuation for the two-dimensional anisotropic elasticity system and its applications to inverse problems
• Reconstruction of a linear crack in an isotropic elastic body from a single set of measured data
• Uniqueness in inverse elastic scattering with finitely many incident waves
• Extracting the support function of a cavity in an isotropic elastic body from a single set of boundary data
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• The Atkinson-Wilcox expansion theorem for elastic waves
• The Conductive Boundary Condition for Maxwell’s Equations
• Uniqueness theorems in inverse obstacle scattering of elastic waves
• A uniqueness theorem in inverse scattering of elastic waves
• On uniqueness for an inverse problem in inhomogeneous elasticity
• Looking Back on Inverse Scattering Theory
• Recovering piecewise constant refractive indices by a single far-field pattern
• On a local geometric property of the generalized elastic transmission eigenfunctions and application
• Mathematical Methods in Elasticity Imaging
• Inverse acoustic and electromagnetic scattering theory
• Spectral Geometry and Inverse Scattering Theory
• Spectral properties of an acoustic-elastic transmission eigenvalue problem with applications
• Spectral Patterns of Elastic Transmission Eigenfunctions: Boundary Localization, Surface Resonance, and Stress Concentration
• Visibility, invisibility and unique recovery of inverse electromagnetic problems with conical singularities
• Stable determination of an impedance obstacle by a single far-field measurement

This page was built for publication: Unique determination by a single far-field measurement for an inverse elastic problem

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6617212)