English

Blow up in several points for the nonlinear Schr\"odinger equation on a bounded domain

Analysis of PDEs 2010-09-03 v3

Abstract

Given pp points in a bounded domain of Rd\R^d, with d=2,3d=2,3, we show the existence of solutions of the L2L^2-critical focusing nonlinear Schr\"odinger equation blowing up exactly in these points.

Keywords

Cite

@article{arxiv.1004.1905,
  title  = {Blow up in several points for the nonlinear Schr\"odinger equation on a bounded domain},
  author = {Nicolas Godet},
  journal= {arXiv preprint arXiv:1004.1905},
  year   = {2010}
}