7 papers
Leakage detection, collision relation, and self-adjoint cancellation in multi-velocity systems
Yuchao Yi
Let map Dirichlet data to time state , we study the -normal operator where is the standard adjoint. We pro…
An inverse problem for compressible Euler's equations
Gunther Uhlmann, Yuchao Yi, Jian Zhai
We consider an inverse problem for the compressible Euler's equations in polytropic fluid. We show that by taking active measurements near a particle trajectory one can determine t…
Time Separation and Scattering Rigidity for Analytic Lorentzian Manifolds
Yuchao Yi, Yang Zhang
In this work, we prove the following three rigidity results: (i) in a real-analytic globally hyperbolic spacetime without boundary, the time separation function restricted…
The Dirichlet-to-Neumann map for Lorentzian Calderón problems with data on disjoint sets
Yuchao Yi, Yang Zhang
We consider the restricted Dirichlet-to-Neumann map for the wave equation with magnetic potential and scalar potential , on an admissible Lorentzian manifo…
Riemannian and Lorentzian Calderón problem under Magnetic Perturbation
Yuchao Yi
We study both the Riemannian and Lorentzian Calderón problem when a family of Dirichlet-to-Neumann maps are given for an open set of magnetic/electromagnetic potentials. For the Ri…
Wulff inequality for minimal submanifolds in Euclidean space
Wenkui Du, Yuchao Yi, Ziyi Zhao
In this paper, we prove a Wulff inequality for -dimensional minimal submanifolds with boundary in , where we associate a nonnegative anisotropic weight $Φ: S^{…
Bounded Time Inverse Scattering for Semilinear Dirac Equation
Yuchao Yi
In this paper, we present the first uniqueness result on the bounded time inverse scattering problem for a semilinear Dirac equation with smooth nonlinearity where $(x, z…