55 citations · 92 across the 17 of their papers we have counts for
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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…
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…
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…
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…
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…
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…
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…
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…
The Inverse Problem for the Dirichlet-to-Neumann map on Lorentzian manifolds
Plamen Stefanov, Yang Yang
We consider the Dirichlet-to-Neumann map on a cylinder-like Lorentzian manifold related to the wave equation related to the metric , a magnetic field and a potential …
Thermo and photoacoustic Tomography with variable speed and planar detectors
Plamen Stefanov, Yang Yang
We analyze the mathematical model of multiwave tomography with a variable speed with integrating measurements on planes tangent to a sphere surrounding the source. We prove sharp u…
Multiwave tomography with reflectors: Landweber's iteration
Plamen Stefanov, Yang Yang
We use the Landweber method for numerical simulations for the multiwave tomography problem with a reflecting boundary and compare it with the averaged time reversal method. We also…
Applications of CGO Solutions on Coupled-Physics Inverse Problems
Ilker Kocyigit, Ru-Yu Lai, Lingyun Qiu +2
This paper surveys inverse problems arising in several coupled-physics imaging modalities for both medical and geophysical purposes. These include Photo-acoustic Tomography (PAT),…
Determining the first order perturbation of a polyharmonic operator on admissible manifolds
Yernat M. Assylbekov, Yang Yang
We consider the inverse boundary value problem for the first order perturbation of the polyharmonic operator , with being a vector field and…
Multiwave tomography in a closed domain: averaged sharp time reversal
Plamen Stefanov, Yang Yang
We study the mathematical model of multiwave tomography including thermo and photoacoustic tomography with a variable speed for a fixed time interval . We assume that the wa…
Determining the first order perturbation of a bi-harmonic operator on bounded and unbounded domains from partial data
Yang Yang
In this paper we study inverse boundary value problems with partial data for the bi-harmonic operator with first order perturbation. We consider two types of subsets of $\mathbb{R}…
An inverse boundary value problem for the magnetic Schrödinger operator with a bounded magnetic potential in a slab
Shitao Liu, Yang Yang
We study an inverse boundary value problem with partial data in an infinite slab in , , for the magnetic Schrödinger operator with an magnetic…
An inverse radiative transfer in refractive media equipped with a magnetic field
Yernat M. Assylbekov, Yang Yang
We study the reconstruction of the attenuation and absorption coefficients in a stationary linear transport equation from knowledge of albedo operator in dimension on a R…