104 citations · 1.2k across the 127 of their papers we have counts for
14 papers · 1 filter
Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators
Xinlin Cao, Yi-Hsuan Lin, Hongyu Liu
Let be an elliptic 2-tensor. Consider the anisotropic fractional Schrödinger operator , where $\mathscr{L}_A^s:=(-\nabla\cdot(A(x)\…
On anomalous localized resonance and plasmonic cloaking beyond the quasistatic limit
Hongjie Li, Hongyu Liu
In this paper, we give the mathematical construction of novel core-shell plasmonic structures that can induce anomalous localized resonance and invisibility cloaking at certain fin…
On an inverse elastic wave imaging scheme for nearly incompressible materials
Li Jingzhi, Liu Hongyu, Sun Hongpeng
This paper is devoted to the algorithmic development of inverse elastic scattering problems. We focus on reconstructing the locations and shapes of elastic scatterers with known di…
Addendum to: "On vanishing near corners of transmission eigenfunctions"
Eemeli Blåsten, Hongyu Liu
In this addendum, we relax a restrictive assumption in [1] needed for the interior transmission eigenfunctions to hold the intrinsic geometric vanishing property in a corner. In ad…
On a gesture-computing technique using electromagnetic waves
Jingzhi Li, Hongyu Liu, Hongpeng Sun
This paper is concerned with a conceptual gesture-based instruction/input technique using electromagnetic wave detection. The gestures are modelled as the shapes of some impenetrab…
Reconstruction via the intrinsic geometric structures of interior transmission eigenfunctions
Jingzhi Li, Xiaofei Li, Hongyu Liu
We are concerned with the inverse scattering problem of extracting the geometric structures of an unknown/inaccessible inhomogeneous medium by using the corresponding acoustic far-…