6 papers
On an inverse boundary problem in elastodynamics
Lu Chen, Yan Jiang, Hongyu Liu +1
We study the simultaneous identification of the Lamé parameters and in three-dimensional static isotropic elasticity. For smooth coefficients, we establish uniqueness from…
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…
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…
Inverse Scattering from Conformal Infinity for Totally Geodesic Defects in Hyperbolic Space
Lu Chen, Hongyu Liu, Longyue Tao
We study inverse scattering from conformal infinity for impenetrable topological defects whose interaction surfaces are totally geodesic in hyperbolic space \(\mathbb H^n\), \(n \g…
Stably Determining a generalised Impedance Obstacle from a Single Far-Field Pattern
Huaian Diao, Hongyu Liu, Longyue Tao
Inverse scattering focuses on recovering unknown scatterers from wave measurements. A fundamental challenge is determining whether an inverse obstacle problem can be resolved from…
Stable determination of an impedance obstacle by a single far-field measurement
Huaian Diao, Hongyu Liu, Longyue Tao
We establish sharp stability estimates of logarithmic type in determining an impedance obstacle in . The obstacle is of general polygonal shape and the impedance para…