Blow-up for the 1D nonlinear Schrödinger equation with point nonlinearity II: Supercritical blow-up profiles

Justin Holmer, Chang Liu

We consider the 1D nonlinear Schrödinger equation (NLS) with focusing \emph{point nonlinearity}, $$i{\partial }_t\psi +{\partial }_x^2\psi +\delta |\psi {|}^{p-1}\psi =0$$ where $\delta =\delta (x)$ is the delta functio…