Blow-up dynamics and spectral property in the $L^2$-critical nonlinear Schrödinger equation in high dimensions

Kai Yang, Svetlana Roudenko, Yanxiang Zhao

We study stable blow-up dynamics in the $L^2$-critical nonlinear Schrödinger equation in high dimensions. First, we show that in dimensions $d=4$ to $d=12$ generic blow-up behavior…