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【理学院讲坛】数学中心学术讲座
发布时间:2020-01-07【告诉好友】 【关闭窗口】

  时间:2020年1月8日(周三)上午:9:30

  地点:理学院数统楼213学术报告厅

  报告人:复旦大学 黄耿耿 副教授

  题目:Convergence rate estimates for Alexandrov’s solution to the Monge-Ampere equation

  摘要:In this talk, we talk about error estimates for solutions to the Dirichlet problem of the Monge-Ampere equation det D^2 u= f in Ω, where f is a positive and continuous function and Ω is a bounded convex domain in the Euclidean space Rn. We approximate the solution u by a sequence of convex polyhedra , which are generalised solutions to the Monge-Ampère equation in the sense of Aleksandrov, and the associated Monge- Ampère measures  are supported on a properly chosen grid in Ω. We will derive error estimates for the cases when  is smooth, Holder continuous, and merely continuous. This is a joint work with Haodi Chen and Xu-Jia Wang.

  报告人简介:

  黄耿耿,复旦大学副教授师从洪家兴院士,后在上海交通大学做博士后研究。入选2019年度上海市青年科技启明星计划主要从事偏微分方程的理论研究,在包括 CPAM、CPDE、CVPDE、JDE等国际知名学术期刊上发表论文。

      
      
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