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

2010/04/12 by Godet, Nicolas
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1004.1905

Abstract

Given p points in a bounded domain of \R^d, with d=2,3, we show the existence of solutions of the L²-critical focusing nonlinear Schrödinger equation blowing up exactly in these points.

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