Two points blow-up in solutions of the nonlinear Schrödinger equation with quartic potential on ℝ

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Abstract

We consider the blow-up problem for the nonlinear Schrödinger equation with quartic sell-interacting potential on ℝ. We exhibit a class of initial data leading to the blow-up solutions which have at least two L2-concentration points.

Original languageEnglish
Pages (from-to)439-458
Number of pages20
JournalJournal of Statistical Physics
Volume91
Issue number1-2
Publication statusPublished - 1 Apr 1998

Keywords

  • 1 + 1 space-time
  • Blow-up
  • Critical case
  • Nonlinear Schrödinger equation
  • Quartic self-interacting potential
  • Two L-concentration points
  • Variational problem

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