2 papers
math.AP2024
Carleman factorization of layer potentials on smooth domains
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi +1
One of the unexplored benefits of studying layer potentials on smooth, closed hypersurfaces of Euclidean space is the factorization of the Neumann-Poincaré operator into a product…
math.SP2023
Generic properties of the Neumann-Poincaré operator: simplicity of eigenvalues and cyclic vectors
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi +1
Two generic properties of the Neumann--Poincaré operator are investigated. We prove that non-zero eigenvalues of the Neumann--Poincaré operator on smooth boundaries in three dimens…