56 citations · 510 across the 96 of their papers we have counts for
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Hölder Stability Estimate for a Retrospective Problem of Mean Field Games With a Non-Quadratic Hamiltonian
Michael V. Klibanov, Mikhail Y. Kokurin, Jingzhi Li
Hölder stability estimate and uniqueness are proven for a retrospective problem of Mean Field Games with a non-quadratic Hamiltonian. The previous result was only for the quadratic…
Convexification for a Coefficient Inverse Problem of Mean Field Games
Michael V. Klibanov, Jingzhi Li, Zhipeng Yang
The globally convergent convexification numerical method is constructed for a Coefficient Inverse Problem for the Mean Field Games System. A coefficient characterizing the global i…
A Coefficient Inverse Problem for the Mean Field Games System
Michael V. Klibanov
A Coefficient Inverse Problem (CIP) of the determination of a coefficient of the Mean Field Games System (MFGS) of the second order is considered. The input data are generated by a…
Convexification Numerical Method for the Retrospective Problem of Mean Field Games
Michael V. Klibanov, Jingzhi Li, Zhipeng Yang
The convexification numerical method with the rigorously established global convergence property is constructed for a problem for the Mean Field Games System of the second order. T…
Numerical verification of the convexification method for a frequency-dependent inverse scattering problem with experimental data
Thuy Le, Vo Anh Khoa, Michael Victor Klibanov +3
The reconstruction of physical properties of a medium from boundary measurements, known as inverse scattering problems, presents significant challenges. The present study aims to v…
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…