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20152026
most citedSpectral structure of the Neumann--Poincaré operator on tori

11 citations · 18 across the 9 of their papers we have counts for

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7 papers · 1 filter

math.AP2026

Ellipsoidal characterization of neutral inclusions for imperfect bonding of high-conductivity type

Junyong Eom, Shota Fukushima, Yong-Gwan Ji +3

This paper concerns neutral inclusions for imperfect bonding of high-conductivity type. An inclusion, which is a bounded domain, is said to be of imperfect bonding of high-conducti…

math.AP2026

The transmission problem with imperfect interfaces of small resistance

Shota Fukushima, Yong-Gwan Ji, Hyeonbae Kang

We consider the transmission problem in presence of interfaces with imperfect bonding. The imperfect bonding condition is characterized by the positive resistance along the interfa…

math.AP2024

Finiteness of the stress in presence of closely located inclusions with imperfect bonding

Shota Fukushima, Yong-Gwan Ji, Hyeonbae Kang +1

If two conducting or insulating inclusions are closely located, the gradient of the solution may become arbitrarily large as the distance between inclusions tends to zero, resultin…

math.AP2022★ 1 cited

A decomposition theorem of surface vector fields and spectral structure of the Neumann-Poincaré operator in elasticity

Shota Fukushima, Yong-Gwan Ji, Hyeonbae Kang

We prove that the space of vector fields on the boundary of a bounded domain with the Lipschitz boundary in three dimensions is decomposed into three subspaces: elements of the fir…

math.AP2021★ 1 cited

Spectrum of the Neumann-Poincaré operator and optimal estimates for transmission problems in presence of two circular inclusions

Yong-Gwan Ji, Hyeonbae Kang

We consider the field concentration for the transmission problems of the homogeneous and inhomogeneous conductivity equations in the presence of closely located circular inclusions…

math.AP2020

Neutral inclusions, weakly neutral inclusions, and an over-determined problem for confocal ellipsoids

Yong-Gwan Ji, Hyeonbae Kang, Xiaofei Li +1

An inclusion is said to be neutral to uniform fields if upon insertion into a homogenous medium with a uniform field it does not perturb the uniform field at all. It is said to be…

math.AP2015

Spectral properties of the Neumann-Poincaré operator and cloaking by anomalous localized resonance for the elasto-static system

Kazunori Ando, Yong-Gwan Ji, Hyeonbae Kang +2

We first investigate spectral properties of the Neumann-Poincaré (NP) operator for the Lamé system of elasto-statics. We show that the elasto-static NP operator can be symmetrized…