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

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Liu, Hongyu;
  • Subject: Mathematical Physics | Mathematics - Analysis of PDEs | Mathematics - Differential Geometry
    arxiv: Physics::Optics | Mathematics::Spectral Theory

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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