Blow-up criteria for the 3d cubic nonlinear Schrödinger equation

Justin Holmer, Rodrigo Platte, Svetlana Roudenko

We consider solutions $u$ to the 3d nonlinear Schrödinger equation $i{\partial }_{t}u+\Delta u+|u{|}^{2}u=0$. In particular, we are interested in finding criteria on the initial data $u_0$ t…