Lipschitz stability for determination of states and inverse source problem for the mean field game equations

DOI10.3934/IPI.2023057zbMATH Open1547.35691MaRDI QIDQ6587552

Hongyu Liu, O. Yu. Imanuvilov, M. Yamamoto

Publication date: 14 August 2024

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

zbMATH Keywords

stabilityuniquenessinverse problemsCarleman estimatemean field games

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Inverse problems for PDEs (35R30) Second-order parabolic equations (35K10) Overdetermined systems of PDEs with variable coefficients (35N10) Mean field games and control (49N80) Mean field games (aspects of game theory) (91A16) PDEs in connection with mean field game theory (35Q89)

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Related Items (4)

On inverse problems in multi-population aggregation models ⋮ Reconstructing a state-independent cost function in a mean-field game model ⋮ Convexification numerical method for the retrospective problem of mean field games ⋮ Determining state space anomalies in mean field games

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