2 citations · 3 across the 12 of their papers we have counts for
4 papers · 1 filter
Global recovery of Lorentzian principal geometry from the hyperbolic Dirichlet-to-Neumann map
Lu Chen, Yan Jiang, Hongyu Liu +1
We prove that the full Dirichlet-to-Neumann map on a finite time interval globally determines the Lorentzian metric \(\mathbf G_{g,c}=-c(x,t)^2\mathrm{d}t^2+g(x)\) encoded by the p…
A Weyl-type law for surface-localized eigenfunctions of the Maxwell transmission problem
Yan Jiang, Hongyu Liu, Kai Zhang +1
This work studies surface-localized transmission eigenfunctions for time-harmonic electromagnetic scattering. Prior results on this phenomenon are mostly qualitative, proving exist…
Quasianalyticity and geometric rigidity in anisotropic Calderón's problem
Lu Chen, Yan Jiang, Hongyu Liu +1
The anisotropic Calderón problem of determining a smooth Riemannian metric from boundary measurements, up to a boundary-fixing diffeomorphism, remains open in dimensions ~\c…
Sub-wavelength resonances in two-dimensional multi-layer elastic media
Yan Jiang, Hongyu Liu, Fanbo Sun +1
In this paper, we focus on the sub-wavelength resonances in two-dimensional elastic media characterized by high contrasts in both Lamé parameters and density. Our contributions are…