17 citations · 50 across the 20 of their papers we have counts for
26 papers
Recovery of coefficients in a Schrödinger system with nonlinear coupling
Pranav Arrepu, Hanming Zhou
We consider the inverse problem of recovering time-dependent coefficients in a system of Schrödinger equations with coupled nonlinear terms. We first address the well-posedness of…
Conformal boundary rigidity for simple Finsler metrics
Kelvin Lam, Hanming Zhou
In this paper we prove that simple Finsler manifolds are conformally stable. Given a simple Finsler manifold and a class of conformal factors, we characterize the singularity of th…
The BGK model with in-flow boundary condition: forward and inverse problems
Ru-Yu Lai, Hanming Zhou
We study the Bhatnagar-Gross-Krook (BGK) equation in a bounded domain with in-flow boundary condition. The BGK model is a simple relaxation of the Boltzmann equation through replac…
The linearized minimal surfaces problem
Haim Grebnev, Plamen Stefanov, Gunther Uhlmann +1
We characterize the kernel of the linearization of the minimal surface problem about the Euclidean metric in a bounded smooth domain , , with the b…
Stable Determination of Coefficients in Nonlinear Dynamical Schrödinger Equations by Carleman Estimates
Pranav Arrepu, Hanming Zhou
We consider the inverse problem of recovering stationary coefficients in a class of dynamical Schrödinger equations with locally analytic nonlinear terms. Upon treating the well-po…
Inverse problems for time-dependent nonlinear transport equations
Ru-Yu Lai, Hanming Zhou
In this work, we investigate inverse problems of recovering the time-dependent coefficient in the nonlinear transport equation in both cases: two-dimensional Riemannian manifolds a…