偏分方程暑期课程【陈传强】

发布者:系统管理员发布时间:2015-07-16浏览次数:44

题目: Monge-Ampere equation

授课人  陈传强(浙江工业大学)

时间:7月24日、7月25日;7月27-8月1日,早上9:00-11:30

地点:五教5205

 

摘要:I will introduce the elliptic Monge-Ampere equation, and some topics are as follows

1. global estimates and Dirichlet problem

2. Pogorelov estimates and Bernstein theorem

3. Monge-Ampere measure and generalized solution

4. strict convexity and C^{1,/alpha} estimate

5. C^{2, /alpha} estimate (I)

6. C^{2, /alpha} estimate  (II)

7. W^{2,p} estimate  (I)

8. W^{2,p} estimate  (II)