104 citations
4 papers
On vanishing near corners of transmission eigenfunctions
Eemeli Blåsten, Hongyu Liu
Let be a bounded domain in , , and be a potential function. Consider the following transmission eigenvalue problem for nontrivial $v,…
Nearly non-scattering electromagnetic wave set and its application
Hongyu Liu, Yuliang Wang, Shuhui Zhong
For any inhomogeneous compactly supported electromagnetic (EM) medium, it is shown that there exists an infinite set of linearly independent electromagnetic waves which generate ne…
Determining both sound speed and internal source in thermo- and photo-acoustic tomography
Hongyu Liu, Gunther Uhlmann
This paper concerns thermoacoustic tomography and photoacoustic tomography, two couple-physics imaging modalities that attempt to combine the high resolution of ultrasound and the…
On regularized full- and partial-cloaks in acoustic scattering
Youjun Deng, Hongyu Liu, Gunther Uhlmann
The aim of this work is to derive sharp quantitative estimates of the qualitative convergence results developed in [28] for regularized full- and partial-cloaks via the transformat…