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

Oleg Imanuvilov, Masahiro Yamamoto

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Source: Crossref

Published: Oct 15, 2024

DOI: 10.1002/mma.10519

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Source 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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Global Lipschitz stability for an inverse coefficient problem for a mean field game system — Mathematical Frontier Network