报告题目：Determining internal topological structures and running cost of mean field games with partial boundary measurement

报告人：丁明慧 西北工业大学数学与统计学院

报告时间：2025年11月30日 下午14:00-14:40

报告地点：#腾讯会议：304601182

校内联系人：张剑桥 [email protected]

报告摘要：

This talk discusses the simultaneous reconstruction of the running cost function and internal structure in mean-field games (MFG) systems using partial boundary data. The problem is challenging due to nonlinear coupling, multi-parameter reconstruction, probability constraints, and limited data. We propose a novel higher-order linearization method for MFG systems with Dirichlet and Neumann boundary conditions. First, we present unique reconstruction results under homogeneous boundary conditions, then extend them to inhomogeneous cases. These findings significantly improve our understanding of reconstruction in complex MFG systems.

报告人简介：丁明慧, 博士, 西北工业大学副教授, 研究方向为偏微分方程反问题的理论与计算, 目前主持国家自然科学基金青年基金一项, 在SIAM系列、 IP、JCP、JMB等国内外重要学术期刊发表论文多篇。