Plasmonic eigenvalue problem for corners
Analysis and Geometry Seminar
19th December 2019, 3:15 pm – 4:15 pm
Fry Building, 2.04
We consider the plasmonic eigenvalue problem for 2D domains having a curvilinear corner, studying the spectral theory of the Neumann-Poincaré operator of the boundary. We will see that the corner produces absolutely continuous spectrum of multiplicity 1. The embedded eigenvalues are discrete. In particular, there is no singular continuous spectrum.