5 papers
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…
Boundary Spectral Inequalities from Measurable Sets and Heat Observability on Domains
Lu Chen, Haolin Liu, Hongyu Liu
In this paper, we consider the boundary control problem. For bounded connected domains, we establish quantitative boundary spectral inequalities for both Dirichlet and Ne…
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…
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…
Determining evolutionary equations from a single passive boundary observation
Lu Chen, Yan Jiang, Hongyu Liu +2
We study inverse boundary problems for evolutionary PDEs using only a single passive boundary observation, where data from an unknown internal source propagate through an unknown m…