3 papers
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.NA2024
Conditional well-posedness and data-driven method for identifying the dynamic source in a coupled diffusion system from one single boundary measurement
Chunlong Sun, Mengmeng Zhang, Zhidong Zhang
This work considers the inverse dynamic source problem arising from the time-domain fluorescence diffuse optical tomography (FDOT). We recover the dynamic distributions of fluoroph…
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…