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math.SP2023
Spectral analysis of the Neumann-Poincaré operator for thin doubly connected domains
Doosung Choi, Mikyoung Lim, Stephen P. Shipman
We analyze the spectrum of the Neumann-Poincaré (NP) operator for a doubly connected domain lying between two level curves defined by a conformal mapping, where the inner boundary…
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…