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

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

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 bas...

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Veröffentlicht in:Mathematical methods in the applied sciences 2024-10
Hauptverfasser: Imanuvilov, Oleg, Yamamoto, Masahiro
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container_title Mathematical methods in the applied sciences
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creator Imanuvilov, Oleg
Yamamoto, Masahiro
description 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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title Global Lipschitz stability for an inverse coefficient problem for a mean field game system
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