Further results on generalized Holmgren's principle to the Lamé operator and applications

DOI10.1016/j.jde.2021.11.039zbMath1483.35250arXiv2101.04944OpenAlexW3119399733MaRDI QIDQ2062055

Li Wang, Hongyu Liu, Huai-An Diao

Publication date: 22 December 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.04944

zbMATH Keywords

single measurementLamé systemgeneralized Holmgren's principleinverse elastic problemspolygonal scatterersunique identifiability

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Wave scattering in solid mechanics (74J20) Inverse problems for PDEs (35R30) Inverse problems for waves in solid mechanics (74J25) Resonance in context of PDEs (35B34) PDEs in connection with mechanics of deformable solids (35Q74) Boundary value problems for second-order elliptic systems (35J57)

Related Items (8)

Stable determination by a single measurement, scattering bound and regularity of transmission eigenfunctions ⋮ Stable determination of an elastic medium scatterer by a single far-field measurement and beyond ⋮ Effective Medium Theory for Embedded Obstacles in Elasticity with Applications to Inverse Problems ⋮ Recovering source location, polarization, and shape of obstacle from elastic scattering data ⋮ Spectral properties of an acoustic-elastic transmission eigenvalue problem with applications ⋮ Geometrical Characterizations of Non-Radiating Sources at Polyhedral and Conical Corners with Applications ⋮ Boundary localization of transmission eigenfunctions in spherically stratified media ⋮ Two single-measurement uniqueness results for inverse scattering problems within polyhedral geometries

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