Showing math.APShow all
2 papers · 1 filter
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.AP2021
On the well-posedness of the time-fractional diffusion equation with Robin boundary condition
Mengmeng Zhang, Jijun Liu
The diffusion system with time-fractional order derivative is of great importance mathematically due to the nonlocal property of the fractional order derivative, which can be appli…