Carleman Estimates In Mean Field Games Stability And Uniqueness For Nonlinear PDEs And Inverse Problems (Michael V. Klib

[Farid-Khan]

Michael V. Klibanov De Gruyter 2025

Catergory: Business, Mathematics, Nonfiction

This book provides a comprehensive exploration of Mean Field Games (MFG) theory, a mathematical framework for modeling the collective behavior of rational agents in complex systems. MFG theory can govern a range of societal phenomena, including finance, sociology, machine learning, and economics. The focus is on the system of two coupled nonlinear parabolic partial differential equations (PDEs) that define the Mean Field Games System. The book covers key theoretical topics such as solution stability and uniqueness, with a particular emphasis on Carleman estimates, which are used to estimate solution errors based on noise in the input data. It also introduces the theory of Ill-Posed and Inverse Problems within MFG theory. Both theoretical and numerical aspects of forward and inverse problems are explored through Carleman estimates, offering a rigorous foundation for researchers and practitioners in applied mathematics and related fields.
This book offers a rigorous...

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⭐️ Carleman Estimates In Mean Field Games Stability And Uniqueness For Nonlinear PDEs And Inverse Problems ✅ (23.79 MB)
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