3 papers
math.AP2026
Quasianalyticity and geometric rigidity in anisotropic Calderón's problem
Lu Chen, Yan Jiang, Hongyu Liu +1
The anisotropic Calderón problem in dimensions remains open for general smooth metrics~\cite{Uhlmann2009}. We establish uniqueness results in two complementary regimes. In…
math.AP2026
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…
math.AP2026
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…