Elastic Neumann–Poincaré Operators on Three Dimensional Smooth Domains: Polynomial Compactness and Spectral Structure-Reference-Cited by-同舟云学术

Elastic Neumann–Poincaré Operators on Three Dimensional Smooth Domains: Polynomial Compactness and Spectral Structure

Published:2017-10-26 Issue:12 Volume:2019 Page:3883-3900
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Ando Kazunori¹,Kang Hyeonbae²,Miyanishi Yoshihisa³

Affiliation:

1. Department of Electrical and Electronic Engineering and Computer Science, Ehime University, Ehime 790-8577, Japan

2. Department of Mathematics, Inha University, Incheon 22212, South Korea

3. Center for Mathematical Modeling and Data Science, Osaka University, Osaka 560-8531, Japan

Funder

Neurosciences Research Foundation

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2019/12/3883/28844963/rnx258.pdf

Reference23 articles.

1. “Spectral theory of a Neumann–Poincaré–type operator and analysis of cloaking due to anomalous localized resonance.”;Ammari;Arch. Ration. Mech. Anal.,2013

2. “Spectral properties of the Neumann-Poincaré operator and cloaking by anomalous localized resonance for the elasto-static system.”;Ando;Eur. J. Appl. Math.

3. “Exponential decay estimates of the eigenvalues for the Neumann–Poincaré operator on analytic boundaries in two dimensions.”;Ando;Integral Equations Appl.

4. “On the spectrum of Poincaré variational problem for two close-to-touching inclusions in 2D.”;Bonnetier;Arch. Ration. Mech. Anal.,2013

5. “L’intégrale de Cauchy définit un opérateur borné sur L2 pour les courbes lipschitziennes.”;Coifman;Ann. Math. (2),1982

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