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C^{2,alpha} regularity for the Monge-Ampere equation
发布时间:2018-01-15     点击次数:
报告题目: C^{2,alpha} regularity for the Monge-Ampere equation
报 告 人: 汪徐家院士(澳大利亚国立大学数学系)
报告时间: 2018年01月16日 16:30--17:30
报告地点: 理学院东北楼四楼报告厅(404)
报告摘要:

 In this talk we give a new and elementary proof for the C^{2,alpha} regularity of solutions to the Monge-Ampere equation, which was first obtained by Calabi-Pogorelov, and later by Evans-Krylov. We will also establish the global C^{2,alpha} estimate for the second boundary value problem of the Monge-Ampere equation, which was obtained by Caffarelli and Delanoe-Urbas under stronger conditions on the domains and right hand side. We present a different proof under weaker conditions.

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