# Infinitely many embedded eigenvalues for the Neumann-Poincar\'e operator in 3D

@article{Li2020InfinitelyME, title={Infinitely many embedded eigenvalues for the Neumann-Poincar\'e operator in 3D}, author={Wei Li and Karl-Mikael Perfekt and Stephen P. Shipman}, journal={arXiv: Functional Analysis}, year={2020} }

This article constructs a surface whose Neumann-Poincare (NP) integral operator has infinitely many eigenvalues embedded in its essential spectrum. The surface is a sphere perturbed by smoothly attaching a conical singularity, which imparts essential spectrum. Rotational symmetry allows a decomposition of the operator into Fourier components. Eigenvalues of infinitely many Fourier components are constructed so that they lie within the essential spectrum of other Fourier components and thus… Expand

#### One Citation

Complex-scaling method for the complex plasmonic resonances of planar subwavelength particles with corners

- Computer Science
- J. Comput. Phys.
- 2021

These results corroborate the study of Li and Shipman (J. Expand

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