Eigenvalues and Eigenfunctions of Double Layer Potentials

2015/01/15 by Yoshihisa Miyanishi, Takashi Suzuki, Miyanishi, Yoshihisa +1
Mathematics · #34L20 (Secondary) #47G40 (Primary) #FOS: Mathematics #Spectral Theory (math.SP) #math.SP #msc:34L20 #msc:47G40

paper · pdf · doi:10.48550/arxiv.1501.03627

19 pages. Preliminary version, comments appreciated

arxiv created 2015/01/15 · arxiv updated 2015/01/16

Abstract

For bounded domains, eigenvalues and eigenfunctions of double layer potentials are considered. The aim of this paper is to establish some relationships between eigenvalues, eigenfunctions and the geometry of domain boundaries.

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