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20162020
most citedTravel time tomography in stationary spacetimes

2 citations · 4 across the 3 of their papers we have counts for

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8 papers · 1 filter

math.AP20202 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.AP20202 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

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…

math.AP2018

Unique determination of a transversely isotropic perturbation in a linearized inverse boundary value problem for elasticity

Yang Yang, Jian Zhai

We consider a linearized inverse boundary value problem for the elasticity system. From the linearized Dirichlet-to-Neumann map at zero frequency, we show that a transversely isotr…

math.AP2018

On an inverse source problem for the Biot's equations in electro-seismic imaging

Yixian Gao, Peijun Li, Yang Yang

Electro-seismic imaging is a novel hybrid imaging modality in geophysical exploration. This paper concerns an inverse source problem for Biot's equations that arise in electro-seis…