Stable determination of an elastic medium scatterer by a single far-field measurement and beyond
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Publication:2153932
DOI10.1007/s00526-022-02278-5zbMath1501.35390arXiv2111.12288OpenAlexW3216211720WikidataQ114017832 ScholiaQ114017832MaRDI QIDQ2153932
Qingle Meng, Hongyu Liu, Zheng-Jian Bai, Huai-An Diao
Publication date: 13 July 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.12288
Nonlinear elasticity (74B20) Wave scattering in solid mechanics (74J20) Scattering theory for PDEs (35P25) Inverse problems in equilibrium solid mechanics (74G75) Inverse problems for waves in solid mechanics (74J25) PDEs in connection with mechanics of deformable solids (35Q74)
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Cites Work
- Unnamed Item
- Stable determination of a scattered wave from its far-field pattern: the high frequency asymptotics
- Stable determination of sound-hard polyhedral scatterers by a minimal number of scattering measurements
- Corners always scatter
- Nearly cloaking the elastic wave fields
- Local stability for soft obstacles by a single measurement
- Strictly convex corners scatter
- Three-spheres theorem for second order elliptic equations
- On generalized Holmgren's principle to the Lamé operator with applications to inverse elastic problems
- Further results on generalized Holmgren's principle to the Lamé operator and applications
- On an electromagnetic problem in a corner and its applications
- On vanishing and localizing around corners of electromagnetic transmission resonances
- Stable determination by a single measurement, scattering bound and regularity of transmission eigenfunctions
- On local and global structures of transmission eigenfunctions and beyond
- On new surface-localized transmission eigenmodes
- Free boundary methods and non-scattering phenomena
- Mosco convergence for \(H(\text{curl})\) spaces, higher integrability for Maxwell's equations, and stability in direct and inverse EM scattering problems
- On vanishing near corners of transmission eigenfunctions
- Stability for the acoustic scattering problem for sound-hard scatterers
- Exponential instability in an inverse problem for the Schrödinger equation
- Stable Determination of a Rigid Scatterer in Elastodynamics
- The Foldy-Lax approximation of the scattered waves by many small bodies for the Lamé system
- Stable determination of sound-soft polyhedral scatterers by a single measurement
- Uniqueness and stability in determining a rigid inclusion in an elastic body
- A uniqueness theorem in inverse scattering of elastic waves
- Examples of exponential instability for inverse inclusion and scattering problems
- On uniqueness for an inverse problem in inhomogeneous elasticity
- Looking Back on Inverse Scattering Theory
- Nonradiating Sources and Transmission Eigenfunctions Vanish at Corners and Edges
- On Electromagnetic Scattering from a Penetrable Corner
- Radiating and non-radiating sources in elasticity
- Determining a sound-soft polyhedral scatterer by a single far-field measurement
- Stable determination of cavities in elastic bodies
- Scattering by Curvatures, Radiationless Sources, Transmission Eigenfunctions, and Inverse Scattering Problems
- On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications
- On Geometrical Properties of Electromagnetic Transmission Eigenfunctions and Artificial Mirage
- Recovering piecewise constant refractive indices by a single far-field pattern
- Stable determination of polygonal inclusions in Calderón’s problem by a single partial boundary measurement
- On corners scattering stably and stable shape determination by a single far-field pattern
- On a local geometric property of the generalized elastic transmission eigenfunctions and application
- On Calderón’s inverse inclusion problem with smooth shapes by a single partial boundary measurement
- Surface-Localized Transmission Eigenstates, Super-resolution Imaging, and Pseudo Surface Plasmon Modes
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