中科院数学与系统科学研究院
数学研究所
调和分析及其应用中心
学术报告会
报告人：Prof. Hong Jiaxing（Fudan University）
题 目：The regularityof solutions to degenerate elliptic Monge-Ampere equations and some applications
时 间：09.18(星期四), 16:00--17:00
地 点：数学院南楼N202室
Abstract:In this talk two kinds of boundary estimates for degenerate elliptic Monge -Ampere equations arising from study of isometric embeddings in Differential Geometry, will be introduced. As far as the classification of boundary degeneracy be concerned, one is non-characteristic degenerate and another is characteristic degenerate. The corresponding linearized operator is Tricomi type and Keldys type respectively. Their behaviors are quite different. By establishing a priori estimates for such two modeling boundary value problems we can derive the regularity of solutions to the relevant degenerate elliptic Monge-Ampere equations. Finally, some applications to geometric problems are presented.