activity
20132026
most citedThe Inverse Problem for the Dirichlet-to-Neumann map on Lorentzian manifolds

55 citations · 92 across the 17 of their papers we have counts for

collaborators

17 papers

math.AP2026

Linearized Boundary Control Method for Damping Reconstruction in an Acoustic Inverse Boundary Value Problem

Tianyu Yang, Yang Yang

We develop a linearized boundary control method for the inverse boundary value problem of determining the damping coefficient in the damped wave equation. The objective is to recon…

math.AP2021★ 4 cited

A Linearized Boundary Control Method for the Acoustic Inverse Boundary Value Problem

Lauri Oksanen, Tianyu Yang, Yang Yang

We develop a linearized boundary control method for the inverse boundary value problem of determining a potential in the acoustic wave equation from the Neumann-to-Dirichlet map. W…

math.AP2020★ 2 cited

A Non-Iterative Reconstruction Algorithm for the Acoustic Inverse Boundary Value Problem

Tianyu Yang, Yang Yang

We present a non-iterative algorithm to reconstruct the isotropic acoustic wave speed from the measurement of the Neumann-to-Dirichlet map. The algorithm is designed based on the b…

math.AP2020

Ultrasound Modulated Bioluminescence Tomography With A Single Optical Measurement

Francis Chung, Tianyu Yang, Yang Yang

Ultrasound modulated bioluminescence tomography (UMBLT) is an imaging method which can be formulated as a hybrid inverse source problem. In the regime where light propagation is mo…

math.AP2020★ 2 cited

Travel time tomography in stationary spacetimes

Gunther Uhlmann, Yang Yang, Hanming Zhou

In this paper, we consider the boundary rigidity problem on a cylindrical domain in , , equipped with a stationary (time-invariant) Lorentzian metric. We…

math.AP2020★ 1 cited

Reconstruction of the collision kernel in the nonlinear Boltzmann equation

Ru-Yu Lai, Gunther Uhlmann, Yang Yang

We consider an inverse problem for the Boltzmann equation with nonlinear collision operator in dimensions . We show that the kinetic collision kernel can be uniquely deter…