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math.AP2024
An Inverse Hyperbolic Problem with Application to Joint Photoacoustic Parameter Determination
Shitao Liu, Gunther Uhlmann, Yang Yang
We consider an inverse problem of recovering a parameter appearing in all levels in a second-order hyperbolic equation from a single boundary measurement. The model is motivated fr…
math.AP2024
Linearized Boundary Control Method for Density Reconstruction in Acoustic Wave Equations
Lauri Oksanen, Tianyu Yang, Yang Yang
We develop a linearized boundary control method for the inverse boundary value problem of determining a density in the acoustic wave equation. The objective is to reconstruct an un…
math.AP2024
The Diffusive Ultrasound Modulated Bioluminescence Tomography with Partial Data and Uncertain Optical Parameters
Tianyu Yang, Yang Yang
The paper studies an imaging problem in the diffusive ultrasound-modulated bioluminescence tomography with partial boundary measurement in an anisotropic medium. Assuming plane-wav…