A new type of CGO solutions and its applications in corner scattering

DOI10.1088/1361-6420/ac4838zbMath1483.35142arXiv2111.01857OpenAlexW3210868489MaRDI QIDQ5030159

Jingni Xiao

Publication date: 16 February 2022

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.01857

zbMATH Keywords

anisotropic mediainverse scatteringtransmission eigenvaluesCGO solutionsnon-scatteringcorner scattering

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Second-order elliptic equations (35J15)

Related Items

On the regularity of non-scattering anisotropic inhomogeneities

Uses Software

• DLMF

Cites Work

• Unnamed Item
• A global uniqueness theorem for an inverse boundary value problem
• Strong unique continuation for general elliptic equations in 2D
• Corners always scatter
• Strictly convex corners scatter
• Acoustic scattering from corners, edges and circular cones
• On an electromagnetic problem in a corner and its applications
• Uniqueness for the inverse boundary value problem with singular potentials in 2D
• Inverse Scattering Theory and Transmission Eigenvalues
• THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC WAVES IN AN INHOMOGENEOUS MEDIUM
• Nonradiating Sources and Transmission Eigenfunctions Vanish at Corners and Edges
• On Electromagnetic Scattering from a Penetrable Corner
• Radiating and non-radiating sources in elasticity
• On corner scattering for operators of divergence form and applications to inverse scattering
• On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications
• Non-scattering energies and transmission eigenvalues in H^n
• Finiteness Results Concerning Nonscattering Wave Numbers for Incident Plane and Herglotz Waves
• Inverse problems: seeing the unseen
• Inverse Acoustic and Electromagnetic Scattering Theory
• Recovering a potential from Cauchy data in the two-dimensional case