Eigenvalues and Eigenfunctions of Double Layer Potentials

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.

19 pages. Preliminary version, comments appreciated

References in corpus (1)

• Schatten classes on compact manifolds: Kernel conditions

Cited by in corpus (4)

• The essential spectrum of the Neumann--Poincare operator on a domain with corners
• Isoperimetric inequalities for the logarithmic potential operator
• Exponential decay estimates of the eigenvalues for the Neumann-Poincaré operator on analytic boundaries in two dimensions
• Elastic Neumann-Poincaré operators on three dimensional smooth domains: Polynomial compactness and spectral structure