Singularities almost always scatter: Regularity results for non‐scattering inhomogeneities
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Publication:6082692
DOI10.1002/cpa.22117zbMath1526.35249arXiv2104.05058OpenAlexW3154509926MaRDI QIDQ6082692
Fioralba Cakoni, Michael S. Vogelius
Publication date: 30 October 2023
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.05058
Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (5)
On the distribution of Born transmission eigenvalues in the complex plane ⋮ On positivity sets for Helmholtz solutions ⋮ A spectral target signature for thin surfaces with higher order jump conditions ⋮ On the regularity of non-scattering anisotropic inhomogeneities ⋮ A perturbation problem for transmission eigenvalues
Cites Work
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- Corners always scatter
- The mathematical theory of time-harmonic Maxwell's equations. Expansion-, integral-, and variational methods
- An inverse spectral theorem and its relation to the Pompeiu problem
- A partial solution of the Pompeiu problem
- The regularity of free boundaries in higher dimensions
- The smoothness of the free surface in a filtration problem
- Estimates of harmonic measure
- An inverse problem for the equation \(\Delta u=-cu-d\)
- Strictly convex corners scatter
- Acoustic scattering from corners, edges and circular cones
- The Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctions
- Free boundary methods and non-scattering phenomena
- High-frequency approximation of the interior Dirichlet-to-Neumann map and applications to the transmission eigenvalues
- Inverse Scattering Theory and Transmission Eigenvalues
- The Existence of an Infinite Discrete Set of Transmission Eigenvalues
- Shape Identification in Inverse Medium Scattering Problems with a Single Far-Field Pattern
- The scattering support
- Nonradiating Sources and Transmission Eigenfunctions Vanish at Corners and Edges
- On vanishing and localizing of transmission eigenfunctions near singular points: a numerical study
- On corner scattering for operators of divergence form and applications to inverse scattering
- Scattering by Curvatures, Radiationless Sources, Transmission Eigenfunctions, and Inverse Scattering Problems
- Finiteness Results Concerning Nonscattering Wave Numbers for Incident Plane and Herglotz Waves
- Inverse Acoustic and Electromagnetic Scattering Theory
- On the Boundary Values of Harmonic Functions
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