Convexification for a Coefficient Inverse Problem of Mean Field Games

Autor: Klibanov, Michael V., Li, Jingzhi, Yang, Zhipeng
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv