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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-ph2024
Vertex Weight Reconstruction in the Gel'fand's Inverse Problem on Connected Weighted Graphs
Songshuo Li, Yixian Gao, Ru Geng +1
We consider the reconstruction of the vertex weight in the discrete Gel'fand's inverse boundary spectral problem for the graph Laplacian. Given the boundary vertex weight and the e…
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…