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math.OC2024★ 1 cited
Determining internal topological structures and running cost of mean field games with partial boundary measurement
Ming-Hui Ding, Hongyu Liu, Guang-Hui Zheng
This paper investigates the simultaneous reconstruction of the running cost function and the internal topological structure within the mean-field games (MFG) system utilizing parti…
math.AP2024
Inverse problems for coupled nonlocal nonlinear systems arising in mathematical biology
Ming-Hui Ding, Hongyu Liu, Catharine W. K. Lo
In this paper, we propose and study several inverse problems of determining unknown parameters in nonlocal nonlinear coupled PDE systems, including the potentials, nonlinear intera…