学术报告

题 目：Boundary Regularity for Degenerate-Singular Monge-Ampere Equations

时 间：2018年12月21日（周五）15:00

地 点：数学院大会议室

报告人：简怀玉 教授 (清华大学)

内容摘要：In 1977, Cheng and Yau studied a class of Monge-Ampere Equations from affine geometry which may be singular or degenerate on the boundary. They obtained the existence, uniqueness and interior regularity for the solution. In this talk, we will discuss the boundary regularity for the solution as well as for smoothness of the boundary of the affine hyperbolic sphere. As a by-product of the regularity, we improve the result of the existence.

报告人简介：清华大学教授、博士生导师、首批教学科研系列责任教授，曾任中国工业与应用数学学会常务理事和秘书长. 在 Adv. Math.、Amer. J. Math.、SIAM J. Appl. Math.、SIAM J. Math. Anal.、J. Funct. Anal.、 Calc. Var. Partial Differential Equations、J. Diff. Equations、 Pacific J. Math.、J. Reine Angew. Math.、Indiana Univ. Math. J.等国际顶级学术期刊发表论文40余篇.