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

Details 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

2010-04-12

arxiv.org/abs/1004.1905v3

Mathematics

Analysis of PDEs

Scientific paper

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 Schr\"odinger
equation blowing up exactly in these points.

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