47 citations · 66 across the 43 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…
An Iteratively Decoupled Algorithm for Multiple-Network Poroelastic Model with Applications in Brain Edema Simulations
Mingchao Cai, Meng Lei, Jingzhi Li +2
In this work, we present an iteratively decoupled algorithm for solving the quasi-static multiple-network poroelastic model. Our approach employs a total-pressure-based formulation…
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…
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…
Hölder Stability and Uniqueness for The Mean Field Games System via Carleman Estimates
Michael V. Klibanov, Jingzhi Li, Hongyu Liu
We are concerned with the mathematical study of the Mean Field Games system (MFGS). In the conventional setup, the MFGS is a system of two coupled nonlinear parabolic PDEs of the s…