Nonlinear Schrödinger equation with a point defect

Reika Fukuizumi; Masahito Ohta; Tohru Ozawa

doi:10.1016/j.anihpc.2007.03.004

Nonlinear Schrödinger equation with a point defect

Reika Fukuizumi^*, Masahito Ohta, Tohru Ozawa

^*この研究の対応する著者

研究成果: Article › 査読

66 被引用数 (Scopus)

抄録

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).

本文言語	English
ページ（範囲）	837-845
ページ数	9
ジャーナル	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
巻	25
号	5
DOI	https://doi.org/10.1016/j.anihpc.2007.03.004
出版ステータス	Published - 2008
外部発表	はい

ASJC Scopus subject areas

分析
数理物理学
応用数学

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10.1016/j.anihpc.2007.03.004

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引用スタイル

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title = "Nonlinear Schr{\"o}dinger equation with a point defect",

abstract = "We study the nonlinear Schr{\"o}dinger 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).",

keywords = "Attractive delta-function impurity, Nonlinear Schr{\"o}dinger equations, Orbital stability, Standing wave",

author = "Reika Fukuizumi and Masahito Ohta and Tohru Ozawa",

year = "2008",

doi = "10.1016/j.anihpc.2007.03.004",

language = "English",

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pages = "837--845",

journal = "Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire",

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T1 - Nonlinear Schrödinger equation with a point defect

AU - Fukuizumi, Reika

AU - Ohta, Masahito

AU - Ozawa, Tohru

PY - 2008

Y1 - 2008

N2 - 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).

AB - 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).

KW - Attractive delta-function impurity

KW - Nonlinear Schrödinger equations

KW - Orbital stability

KW - Standing wave

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U2 - 10.1016/j.anihpc.2007.03.004

DO - 10.1016/j.anihpc.2007.03.004

M3 - Article

AN - SCOPUS:52149096486

SN - 0294-1449

VL - 25

SP - 837

EP - 845

JO - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

JF - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

IS - 5

ER -

Nonlinear Schrödinger equation with a point defect

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