講座主題:Boundary Regularity for Degenerate-Singular Monge-Ampere Equations
專家姓名:簡懷玉
工作單位:清華大學
講座時間:2018年12月21號15:00-16:00
講座地點:數學院341
主辦單位:數學與信息科學學院
內容摘要:
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.
主講人介紹:
簡懷玉,清華大學教授、博士生導師、首批教學科研系列責任教授,曾任中國工業與應用數學學會常務理事和秘書長.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.等國際頂級學術期刊發表論文40余篇.