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math.AP2019
Dirac integral equations for dielectric and plasmonic scattering
Johan Helsing, Andreas Rosén
A new integral equation formulation is presented for the Maxwell transmission problem in Lipschitz domains. It builds on the Cauchy integral for the Dirac equation, is free from fa…
math.AP2016
Classification of spectra of the Neumann-Poincaré operator on planar domains with corners by resonance
Johan Helsing, Hyeonbae Kang, Mikyoung Lim
We study spectral properties of the Neumann-Poincaré operator on planar domains with corners with particular emphasis on existence of continuous spectrum and pure point spectrum. W…