On vanishing near corners of conductive transmission eigenfunctions
DOI10.1007/s40687-021-00299-8zbMath1481.35301arXiv2011.14226OpenAlexW3108006272MaRDI QIDQ2065735
You-Jun Deng, Chaohua Duan, Hongyu Liu
Publication date: 13 January 2022
Published in: Research in the Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.14226
corner singularitygeometric structuresvanishingHerglotz approximationconductive transmission eigenfunctions
Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Elliptic equations on manifolds, general theory (58J05) Geometric optics (78A05) Boundary value problems for second-order elliptic systems (35J57)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Corners always scatter
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- On an electromagnetic problem in a corner and its applications
- On vanishing and localizing around corners of electromagnetic transmission resonances
- On local and global structures of transmission eigenfunctions and beyond
- On new surface-localized transmission eigenmodes
- On vanishing near corners of transmission eigenfunctions
- Inverse Scattering Theory and Transmission Eigenvalues
- Construction of Corner Singularities for Agmon-Douglis-Nirenberg Elliptic Systems
- Approximation by herglotz wave functions
- Looking Back on Inverse Scattering Theory
- Nonradiating Sources and Transmission Eigenfunctions Vanish at Corners and Edges
- On vanishing and localizing of transmission eigenfunctions near singular points: a numerical study
- Radiating and non-radiating sources in elasticity
- On corner scattering for operators of divergence form and applications to inverse scattering
- 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 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
- Inverse acoustic and electromagnetic scattering theory
This page was built for publication: On vanishing near corners of conductive transmission eigenfunctions