Global Lipschitz stability for an inverse coefficient problem for a mean field game system

2023/07/08 by Imanuvilov, Oleg, Yamamoto, Masahiro
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2307.04025

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.

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