Piecewise-analytic interfaces with weakly singular points of arbitrary order always scatter
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Publication:2112760
DOI10.1016/j.jfa.2022.109800zbMath1505.35369arXiv2010.00748OpenAlexW4311761020MaRDI QIDQ2112760
Long Li, Jian Sheng Yang, Guanghui Hu
Publication date: 11 January 2023
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.00748
Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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Cites Work
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- A qualitative approach to inverse scattering theory
- A multi-frequency inverse source problem
- Corners always scatter
- The no response test for the reconstruction of polyhedral objects in electromagnetics
- The interior transmission problem
- Partial differential equations. 4th ed
- Inverse acoustic and electromagnetic scattering theory.
- Strictly convex corners scatter
- Acoustic scattering from corners, edges and circular cones
- Analytic extension and reconstruction of obstacles from few measurements for elliptic second order operators
- Duality between range and no-response tests and its application for inverse problems
- Free boundary methods and non-scattering phenomena
- Full identification of acoustic sources with multiple frequencies and boundary measurements
- Increasing stability in the inverse source problem with many frequencies
- Inverse Modeling
- Shape Identification in Inverse Medium Scattering Problems with a Single Far-Field Pattern
- Acoustic source identification using multiple frequency information
- Reconstruction of a source domain from the Cauchy data
- A range test for determining scatterers with unknown physical properties
- The No Response Test---A Sampling Method for Inverse Scattering Problems
- The scattering support
- On reconstruction in the inverse conductivity problem with one measurement
- Nonradiating Sources and Transmission Eigenfunctions Vanish at Corners and Edges
- Interface with weakly singular points always scatter
- On corner scattering for operators of divergence form and applications to inverse scattering
- Scattering by Curvatures, Radiationless Sources, Transmission Eigenfunctions, and Inverse Scattering Problems
- Cones with convoluted geometry that always scatter or radiate
- Inverse Source Problems in an Inhomogeneous Medium with a Single Far-Field Pattern
- Corners and edges always scatter
- Uniqueness and factorization method for inverse elastic scattering with a single incoming wave
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