Spectral Resolution of the Neumann-Poincar, Operator on Intersecting Disks and Analysis of Plasmon Resonance

The purpose of this paper is to investigate the spectral nature of the Neumann-Poincar, operator on the intersecting disks, which is a domain with the Lipschitz boundary. The complete spectral resolution of the operator is derived, which shows, in particular, that it admits only the absolutely continuous spectrum; no singularly continuous spectrum and no pure point spectrum. We then quantitatively analyze using the spectral resolution of the plasmon resonance at the absolutely continuous spectrum.
Publisher
SPRINGER
Issue Date
2017-10
Language
English
Keywords

CONDUCTIVITY EQUATION; VARIATIONAL PROBLEM; DOMAINS; INCLUSIONS; CORNERS

Citation

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, v.226, no.1, pp.83 - 115

ISSN
0003-9527
DOI
10.1007/s00205-017-1129-9
URI
http://hdl.handle.net/10203/225800
Appears in Collection
MA-Journal Papers(저널논문)
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