3 papers
math.AP2026
The Stability of the Backward Problem for Photoacoustic Imaging in Attenuating Media via Carleman Estimates
Qihang Chen, Zhiyuan Li, Song Xu
This paper investigates the backward problem in time for photoacoustic tomography (PAT) in attenuating media. It is well-established that photoacoustic imaging in attenuating media…
math.AP2025
On the convergence of PINNs for inverse source problem in the complex Ginzburg-Landau equation
Xing Cheng, Zhiyuan Li, Mengmeng Zhang +1
This paper addresses the problem of recovering the spatial profile of the source in the complex Ginzburg-Landau equation from regional observation data at fixed times. We establish…
math.NA2025
Scattered point measurement-based regularization for backward problems for fractional wave equations
Dakang Cen, Zhiyuan Li, Wenlong Zhang
In this work, we are devoted to the reconstruction of an unknown initial value from the terminal data. The asymptotic and root-distribution properties of Mittag-Leffler functions a…