Convexification for a Coefficient Inverse Problem for a System of Two Coupled Nonlinear Parabolic Equations

Autor:	Klibanov, Michael V., Li, Jingzhi, Yang, Zhipeng
Rok vydání:	2024
Předmět:	Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
Popis:	A system of two coupled nonlinear parabolic partial differential equations with two opposite directions of time is considered. In fact, this is the so-called "Mean Field Games System" (MFGS), which is derived in the mean field games (MFG) theory. This theory has numerous applications in social sciences. The topic of Coefficient Inverse Problems (CIPs) in the MFG theory is in its infant age, both in theory and computations. A numerical method for this CIP is developed. Convergence analysis ensures the global convergence of this method. Numerical experiments are presented. Comment: arXiv admin note: text overlap with arXiv:2310.08878
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.10479 Zobrazit plný text záznamu View this record from Arxiv