Colloquium| Institute of Mathematical Sciences
Time：15:30-16:30, November 25 Monday
Location：Room S408, IMS
Speaker: Nguyen Phuoc Tai, Masaryk University
Abstract: We consider the focusing nonlinear Schro¨dinger equation with the critical inverse square potential. We show the uniqueness of the ground state solution. Consequently, we obtain a sharp Hardy-Gagliardo-Nirenberg interpolation inequality. Moreover, we provide a complete characterization for the minimal mass blow-up solutions to the time dependent problem.