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

preprint2010arXivOpen access

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

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

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