Schiffer's Conjecture, Interior Transmission Eigenvalues and Invisibility Cloaking: Singular Problem vs. Nonsingular Problem

2012/02/28 by Hongyu Liu, Liu, Hongyu
Engineering · Mathematics · Physics and Astronomy · #Acoustic Wave Phenomena Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #Electromagnetic Scattering and Analysis #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #math-ph #math.AP #math.DG #math.MP

paper · pdf · doi:10.48550/arxiv.1202.6273

to appear Contemporary Mathematics

openalex publication_date 2012/02/28 · arxiv created 2012/11/07 · arxiv updated 2012/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we present some interesting observations on the Schiffer's conjecture, interior transmission eigenvalue problem and their connections to singular and nonsingular invisibility cloaking problems of acoustic waves.

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