3 papers
math.AP2026
Inverse Spectral Problem With Low Regularity Refractive Index
Kewen Bu, Youjun Deng, Yan Jiang +1
This article investigates the unique determination of a radial refractive index n from spectral data. First, we demonstrate that for piecewise twice continuously differentiable fun…
math.NA2025
Inverse spectral problem for glassy state relaxation approximated by Prony series
Shuli Chen, Marrten V. de Hoop, Youjun Deng +2
The stretched exponential relaxation function is used to analyze the relaxation of the glassy state data. Due to the singularity of this function at the origin, this function is in…
math.AP2025
Clustered eigenvalue problem for glassy state relaxation and its inverse problem
Shuli Chen, Maarten V. de Hoop, Youjun Deng +2
For computational convenience, a Prony series approximation of the stretched exponential relaxation function of homogeneous glasses has been proposed (J. Mauro, Y. Mauro, 2018), wh…