The globally convergent convexification numerical method is constructed for a Coefficient Inverse Problem for the Mean Field Games System. A coefficient characterizing the global interaction term is recovered from the single measurement data. In particular, a new Carleman estimate for the Volterra integral operator is proven, and it stronger than the previously known one. Numerical results demonstrate accurate reconstructions from noisy data.
@article{arxiv.2310.08878,
title = {Convexification for a Coefficient Inverse Problem of Mean Field Games},
author = {Michael V. Klibanov and Jingzhi Li and Zhipeng Yang},
journal= {arXiv preprint arXiv:2310.08878},
year = {2023}
}