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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.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…