广大师生:
华南理工大学“海内外优秀青年学者论坛”旨在面向全球邀请青年才俊,围绕国际科学前沿、热点研究领域以及行业产业的技术问题等展开探讨和交流。籍此平台,启迪思维,开拓视野,促进学术交流与合作,本次论坛的具体安排如下:
论坛时间:2019年7月26日(周五)下午15:00-16:00
论坛地点:华南理工大学4号楼数学学院4318会议室
报告题目:Weak Solutions of Mean Field Game Master Equations
报 告 人:牟宸辰 助理教授(加州大学洛杉矶分校)
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数学学院
2019年7月24日
报告摘要:
In this talk we study master equations arising from mean field game problems, under the crucial monotonicity conditions.Classical solutions of such equations require very strong technical conditions. Moreover, unlike the master equations arising from mean field control problems, the mean field game master equations are non-local and even classical solutions typically do not satisfy the comparison principle, so the standard viscosity solution approach seems infeasible. We shall propose a notion of weak solution for such equations and establish its wellposedness. Our approach relies on a new smooth mollifier for functions of measures, which unfortunately does not keep the monotonicity property, and the stability result of master equations. The talk is based on a joint work with Jianfeng Zhang.
报告人简介:
牟宸辰,1987年12月出生,博士。2009年在吉林大学获得学士学位,2011年在吉林大学获得硕士学位,2016年在美国佐治亚理工大学获得博士学位。2016年至2019年在美国加州大学洛杉矶分校做博士后。牟宸辰长期从事偏微分方程和随机控制研究。在包括Trans. Amer. Math. Soc.、Comm. Math. Phys.、Annals of Applied Probability等在内的世界一流数学期刊发表论文多篇。