activity
20062026
most citedEnhancement of Near Cloaking Using Generalized Polarization Tensors Vanishing Structures. Part I: The Conductivity Problem

116 citations · 194 across the 35 of their papers we have counts for

collaborators

36 papers

math.AP2026

Cloaking laminate design based on GPT-vanishing structures

Eleanor Gemida, Mikyoung Lim

We propose a near-cloaking design which is a lamination of a finite number of layers of isotropic materials. The proposed design is an approximation of a cloaking material obtained…

math.AP2023

On the first Steklov-Dirichlet eigenvalue on eccentric annuli in general dimensions

Jiho Hong, Mikyoung Lim, Dong-Hwi Seo

We consider the Steklov-Dirichlet eigenvalue problem on eccentric annuli in Euclidean space of general dimensions. In recent work by the same authors of this paper [21], a limiting…

math.AP2023

Construction of inclusions with vanishing generalized polarization tensors by imperfect interfaces

Doosung Choi, Mikyoung Lim

We investigate the problem of planar conductivity inclusion with imperfect interface conditions. We assume that the inclusion is simply connected. The presence of the inclusion cau…

math.AP2022

Inverse problem for a planar conductivity inclusion

Doosung Choi, Johan Helsing, Sangwoo Kang +1

This paper concerns the inverse problem of determining a planar conductivity inclusion. Our aim is to analytically recover from the generalized polarization tensors (GPTs), which c…

math.NA2021

The Eigenvalue Problem for the Laplacian via Conformal Mapping and the Gohberg--Sigal Theory

Marius Beceanu, Jiho Hong, Hyun-Kyoung Kwon +1

We consider the Dirichlet and Neumann eigenvalues of the Laplacian for a planar, simply connected domain. The eigenvalues admit a characterization in terms of a layer potential of…

math.AP2020

Geometric series expansion of the Neumann-Poincaré operator: application to composite materials

Elena Cherkaev, Minwoo Kim, Mikyoung Lim

The Neumann-Poincaré operator, a singular integral operator on the boundary of a domain, naturally appears when one solves a conductivity transmission problem via the boundary inte…