SPECTRAL PROPERTIES OF THE NEUMANN-POINCARE′ OPERATOR AND CLOAKING BY ANOMALOUS LOCALIZED RESONANCE: A REVIEW

  • Fukushima, Shota
  • Ji, Yong-Gwan
  • Kang, Hyeonbae
  • Miyanishi, Yoshihisa
Citations

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초록

. This is a review paper on recent development on the spectral theory of the NeumannPoincare operator. The topics to be covered are convergence rate of eigenvalues of the NeumannPoincare operator and surface localization of the single layer potentials of its eigenfunctions. Study on these topics is motivated by their relations with the cloaking by anomalous localized resonance. We review on this topic as well.

키워드

Neumann-Poincare operatorspectrumeigenvaluesasymptoticsdecaysurface local-izationcloakinganomalous localized resonanceEIGENVALUESDOMAINSREGULARITY
제목
SPECTRAL PROPERTIES OF THE NEUMANN-POINCARE′ OPERATOR AND CLOAKING BY ANOMALOUS LOCALIZED RESONANCE: A REVIEW
저자
Fukushima, ShotaJi, Yong-GwanKang, HyeonbaeMiyanishi, Yoshihisa
DOI
10.12941/jksiam.2023.27.087
발행일
2023
유형
Review
저널명
Journal of the Korean Society for Industrial and Applied Mathematics
27
2
페이지
87 ~ 108