Nonlinear Schrödinger equation with a point defect

Reika Fukuizumi*, Masahito Ohta, Tohru Ozawa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

66 Citations (Scopus)


We study the nonlinear Schrödinger equation with a delta-function impurity in one space dimension. Local well-posedness is verified for the Cauchy problem in H1 (R). In case of attractive delta-function, orbital stability and instability of the ground state is proved in H1 (R).

Original languageEnglish
Pages (from-to)837-845
Number of pages9
JournalAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Issue number5
Publication statusPublished - 2008
Externally publishedYes


  • Attractive delta-function impurity
  • Nonlinear Schrödinger equations
  • Orbital stability
  • Standing wave

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Applied Mathematics


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