Nonlinear Schrödinger equation with a point defect

Reika Fukuizumi, Masahito Ohta, Tohru Ozawa

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

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. Annales: Analyse Non Lineaire/Nonlinear Analysis
Volume25
Issue number5
DOIs
Publication statusPublished - 2008 Sep
Externally publishedYes

Fingerprint

Delta functions
Point Defects
Delta Function
Point defects
Nonlinear equations
Nonlinear Equations
Orbital Stability
Local Well-posedness
Impurities
Ground state
Ground State
Cauchy Problem

Keywords

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

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics

Cite this

Nonlinear Schrödinger equation with a point defect. / Fukuizumi, Reika; Ohta, Masahito; Ozawa, Tohru.

In: Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, Vol. 25, No. 5, 09.2008, p. 837-845.

Research output: Contribution to journalArticle

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