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)