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Blow-up in several points for the nonlinear Schrödinger equation on a bounded domain

Blow-up in several points for the nonlinear Schrödinger equation on a bounded domain

Given $p$ points in a bounded domain of $\mathbb R^d$, with $d=2,3$, we show the existence of solutions of the $L^2$-critical focusing nonlinear Schrödinger equation blowing up exactly at these points.