Eigenvalues and eigenfunctions of double layer potentials

where ds_y is the line or surface element and \nu _y is the outer normal derivative on \partial \Omega . It is known that K is a compact operator on L^2(\partial \Omega ) and consists of at most a countable number of eigenvalues, with 0 as the only possible limit point. This paper aims to establish...

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Published in:Transactions of the American Mathematical Society 2017-11, Vol.369 (11), p.8037-8059
Main Authors: MIYANISHI, YOSHIHISA, SUZUKI, TAKASHI
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description where ds_y is the line or surface element and \nu _y is the outer normal derivative on \partial \Omega . It is known that K is a compact operator on L^2(\partial \Omega ) and consists of at most a countable number of eigenvalues, with 0 as the only possible limit point. This paper aims to establish some relationships among the eigenvalues, the eigenfunctions, and the geometry of \partial \Omega .]]>
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title Eigenvalues and eigenfunctions of double layer potentials
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