Speaker: Prof.Shihui Zhu（Sichuan Normal University）

Title: Stability of Standing Waves for the Fractional Schrodinger Equations

Time: Tues, Nov.26 2019, PM:15:00-16:00

Location: Room 4318, Building No.4, Wushan Campus

Abstract：

     In this talk, we consider the nonlinear fractional Schrodinger equation with combined nonlinearities: one is L2 critical, the other is L2 sub-critical. By employing the profile decomposition of bounded sequences in H^s, we find a new sharp Gagliardo-Nirenbergy inequality, and then we prove the orbital stability of standing waves for the above nonlinear fractional Schrodinger equation provided the L2 norm of initial data is small.