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发表时间:2019-08-07 阅读次数:377次
报告题目: MONGE-AMPERE EQUATION WITH BOUNDED PERIODIC DATA
报 告 人:Prof. Li Yanyan
报告人所在单位:美国Rutgers大学
报告日期:2019-08-07 星期三
报告时间:14:00-15:00
报告地点:光华东主楼1801
  
报告摘要:

We consider the Monge-Ampere equation det(D2u) = f in Rn, where f is a positive bounded periodic function. We prove that u

must be the sum of a quadratic polynomial and a periodic function. For f ≡ 1, this is the classic result by Jorgens, Calabi and Pogorelov.

For f ∈ Cα, this was proved in joint work with Caffarelli.

The work presented is a joint work with Siyuan Lu.


													

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本年度学院报告总序号:159

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