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math.AP2026
A Formula for Time-to-Frequency Wave Boundary Data Conversion by the Boundary Control Method
Yang Yang
Given the wave equation on a compact Riemannian manifold with boundary, we derive an explicit reconstruction procedure to represent the frequency-domain Neumann-to-Dirichlet map in…
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…