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Surface localization of plasmons in three dimensions and convexity
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi +1
The Neumann--Poincaré operator defined on a smooth surface has a sequence of eigenvalues converging to zero, and the single layer potentials of the corresponding eigenfunctions, ca…
Spectral structure of the Neumann--Poincaré operator on thin domains in two dimensions
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi
We consider the spectral structure of the Neumann--Poincaré operators defined on the boundaries of thin domains of rectangle shape in two dimensions. We prove that as the aspect ra…
Spectral analysis of Neumann-Poincaré operator
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi +1
This is a survey of accumulated spectral analysis observations spanning more than a century, referring to the double layer potential integral equation, also known as Neumann-Poinca…