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math.SP2019★ 7 cited
Spectral properties of the Neumann-Poincaré operator in 3D elasticity
Yoshihisa Miyanishi, Grigori Rozenblum
We consider the double layer potential (Neumann-Poincaré) operator appearing in 3-dimensional elasticity. We show that the recent result about the polynomial compactness of this op…
math.SP2019★ 3 cited
Convergence rate for eigenvalues of the elastic Neumann--Poincaré operator on smooth and real analytic boundaries in two dimensions
Kazunori Ando, Hyeonbae Kang, Yoshihisa Miyanishi
The elastic Neumann--Poincaré operator is a boundary integral operator associated with the Lamé system of linear elasticity. It is known that if the boundary of a planar domain is…