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math.AP2023
An Inverse Problem With the Final Overdetermination for the Mean Field Games System
Michael V. Klibanov, Jingzhi Li, Hongyu Liu
The mean field games (MFG) theory has broad application in mathematical modeling of social phenomena. The Mean Field Games System (MFGS) is the key to the MFG theory. This is a sys…
math.AP2023
Unique continuation for a mean field game system
Oleg Imanuvilov, Hongyu Liu, Masahiro Yamamoto
For a mean field game system, we prove the unique continuation which asserts that if Cauchy data are zero on arbitrarily chosen lateral subboundary, then the solution identically v…
math.AP2023
On The Mean Field Games System With the Lateral Cauchy Data via Carleman Estimates
Michael V. Klibanov, Jingzhi Li, Hongyu Liu
The second order Mean Field Games system (MFGS) in a bounded domain with the lateral Cauchy data is considered. This means that both Dirichlet and Neumann boundary data for the sol…