Global Lipschitz stability for an inverse coefficient problem for a mean field game system
Analysis of PDEs
2023-07-11 v1
Abstract
For an inverse coefficient problem of determining a state-varying factor in the corresponding Hamiltonian for a mean field game system, we prove the global Lipschitz stability by spatial data of one component and interior data in an arbitrarily chosen subdomain over a time interval. The proof is based on Carleman estimates with different norms.
Cite
@article{arxiv.2307.04025,
title = {Global Lipschitz stability for an inverse coefficient problem for a mean field game system},
author = {Oleg Imanuvilov and Masahiro Yamamoto},
journal= {arXiv preprint arXiv:2307.04025},
year = {2023}
}