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

Research output: Contribution to journal › Article › peer-review

63 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 language	English
Pages (from-to)	837-845
Number of pages	9
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	25
Issue number	5
DOIs	https://doi.org/10.1016/j.anihpc.2007.03.004
Publication status	Published - 2008
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Analysis
Mathematical Physics
Applied Mathematics

Access to Document

10.1016/j.anihpc.2007.03.004

Cite this

@article{f104a11e750b4aa3835f12d36ae4921e,

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",

volume = "25",

pages = "837--845",

journal = "Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis",

issn = "0294-1449",

publisher = "Elsevier Masson SAS",

number = "5",

}

TY - JOUR

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

UR - http://www.scopus.com/inward/record.url?scp=52149096486&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=52149096486&partnerID=8YFLogxK

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. Annales: Analyse Non Lineaire/Nonlinear Analysis

JF - Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis

IS - 5

ER -

Nonlinear Schrödinger equation with a point defect

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this