密苏里科学技术大学Jason C. Murphy博士学术报告6月22日下午
发布时间: 2018-06-19 访问次数: 137

学术讲座【Scattering below the ground state threshold for the focusing nonlinear Schrodinger equation

  

时间:2018622(星期五) 下午14:00-15:30

                                     16:00 -17:30

  

地点:理工北楼601报告厅

  

主办:数学与信息学院, 福建省分析数学及应用重点实验室

  

主讲:密苏里科学技术大学,Jason C. Murphy博士

  

参加对象:相关专业老师及学生

  

专家简介:Jason C. Murphy,博士,毕业于加州大学洛杉机分校( University of California Los Angeles).现就职于Department of Mathematics and StatisticsMissouri University of Science and Technology,任助理教授.

  

报告摘要:We consider the focusing cubic nonlinear Schrodinger equation (NLS) in three space dimensions.  We discuss the problem of scattering below the ground state threshold.  We first discuss the original proof due to Duyckaerts, Holmer, and Roudenko, which employed the concentration-compactness approach to induction on energy.  We then discuss recent work of the Dodson and the speaker giving simplified proofs of the same result that avoid the use of concentration-compactness.  Finally, we discuss the analogous problem for the case of NLS with an inverse-square potential.