Cauchy problem for nonlinear Schrӧdinger equations with critical power nonliniarities

讲座时间 Datetime: 

星期二, 2018/04/03 - 从 15:00 到 16:30

地点 Venue: 

海滨红楼6号楼一楼会议室

报告人 Speaker: 

Nakao Hayashi 教授

单位 Affiliation: 

大阪大学

报告摘要 Abstract: 

In this talk, we consider the initial value problem for the nonlinear Schrӧdinger equations with power nonlinearities of order 1+2/n, where n denotes space dimension and 1≤n≤3.Global existence and asymptotic behavior of small solutions are presented by introducing a suitable phase correction which depends on a nonlinearity.