Schiffer's Conjecture, Interior Transmission Eigenvalues and Invisibility Cloaking: Singular Problem vs. Nonsingular Problem
Analysis of PDEs
2012-11-08 v2 Mathematical Physics
Differential Geometry
math.MP
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.
Cite
@article{arxiv.1202.6273,
title = {Schiffer's Conjecture, Interior Transmission Eigenvalues and Invisibility Cloaking: Singular Problem vs. Nonsingular Problem},
author = {Hongyu Liu},
journal= {arXiv preprint arXiv:1202.6273},
year = {2012}
}
Comments
to appear Contemporary Mathematics