104 citations · 1.2k across the 127 of their papers we have counts for
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On vanishing near corners of conductive transmission eigenfunctions
Youjun Deng, Chaohua Duan, Hongyu Liu
In this paper, we consider the transmission eigenvalue problem associated with a general conductive transmission condition and study the geometric structures of the transmission ei…
Sharp estimate of electric field from a conductive rod and application
Xiaoping Fang, Youjun Deng, Hongyu Liu
We are concerned with the quantitative study of the electric field perturbation due to the presence of an inhomogeneous conductive rod embedded in a homogenous conductivity. We sha…
On local and global structures of transmission eigenfunctions and beyond
Hongyu Liu
The (interior) transmission eigenvalue problems are a type of non-elliptic, non-selfadjoint and nonlinear spectral problems that arise in the theory of wave scattering. They connec…
Mathematical analysis of plasmon resonances for curved nanorods
Youjun Deng, Hongyu Liu, Guanghui Zheng
We investigate plasmon resonances for curved nanorods which present anisotropic geometries. We analyze quantitative properties of the plasmon resonance and its relationship to the…
On Calderón's inverse inclusion problem with smooth shapes by a single partial boundary measurement
Hongyu Liu, Chun-Hsiang Tsou, Wei Yang
We are concerned with the Calderón inverse inclusion problem, where one intends to recover the shape of an inhomogeneous conductive inclusion embedded in a homogeneous conductivity…
Unique continuation from a generalized impedance edge-corner for Maxwell's system and applications to inverse problems
Huaian Diao, Hongyu Liu, Long Zhang +1
We consider the time-harmonic Maxwell system in a domain with a generalized impedance edge-corner, namely the presence of two generalized impedance planes that intersect at an edge…