On standing waves of the mass-supercritical bi-harmonic Schrodinger equation
数学专题报告
报告题目(Title)： On standing waves of the mass-supercritical bi-harmonic Schr\"odinger equation
报告人(Speaker)：韩芳宇 (Assistant Researcher/Boya Postdoctoral Researcher, Peking University)
地点(Place)：后主楼1220
时间(Time)：11月15日（周五），11:00-12:00
邀请人(Inviter)：王灯山
报告摘要
In this talk, we will discuss the existence and orbital stability of standing wave solutions for the mass-supercritical Schr\"odinger equation in $R^N, N\geq1$: $iU_t-\gamma\Delta^2 U-\mu\Delta U+|U|^{p-1}U=0$. This is based on P.-L. Lions' concentration compactness principle.
主讲人简介
Dr. Fangyu Han is an assistant researcher/Boya postdoctoral researcher in the School of Mathematical Sciences, Peking University. He is a reviewer for Mathematical Review. He obtained a Ph. D. in Applied Mathematics from the Xiamen University. His main research interests include stability, blowup dynamics, concentration phenomena and variational characterization of solutions for nonlinear partial differential equations.
