On weak interaction between a ground state and a trapping potential

Scipio Cuccagna; Masaya Maeda

doi:10.3934/dcds.2015.35.3343

On weak interaction between a ground state and a trapping potential

Scipio Cuccagna, Masaya Maeda

SCI - Mathematics

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

5 Citations (Scopus)

Abstract

We continue our study initiated in [4] of the interaction of a ground state with a potential considering here a class of trapping potentials. We track the precise asymptotic behavior of the solution if the interaction is weak, either because the ground state moves away from the potential or is very fast.

Original language	English
Pages (from-to)	3343-3376
Number of pages	34
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	35
Issue number	8
DOIs	https://doi.org/10.3934/dcds.2015.35.3343
Publication status	Published - 2015 Aug 1

Keywords

Asymptotic stability
Ground states
Nonlinear Schrödinger equation

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics
Analysis

Access to Document

10.3934/dcds.2015.35.3343

Fingerprint Dive into the research topics of 'On weak interaction between a ground state and a trapping potential'. Together they form a unique fingerprint.

Cite this

@article{686b7b1666b94b9db0c1d8fdee2e05c8,

title = "On weak interaction between a ground state and a trapping potential",

abstract = "We continue our study initiated in [4] of the interaction of a ground state with a potential considering here a class of trapping potentials. We track the precise asymptotic behavior of the solution if the interaction is weak, either because the ground state moves away from the potential or is very fast.",

keywords = "Asymptotic stability, Ground states, Nonlinear Schr{\"o}dinger equation",

author = "Scipio Cuccagna and Masaya Maeda",

year = "2015",

month = aug,

day = "1",

doi = "10.3934/dcds.2015.35.3343",

language = "English",

volume = "35",

pages = "3343--3376",

journal = "Discrete and Continuous Dynamical Systems",

issn = "1078-0947",

publisher = "Southwest Missouri State University",

number = "8",

}

TY - JOUR

T1 - On weak interaction between a ground state and a trapping potential

AU - Cuccagna, Scipio

AU - Maeda, Masaya

PY - 2015/8/1

Y1 - 2015/8/1

N2 - We continue our study initiated in [4] of the interaction of a ground state with a potential considering here a class of trapping potentials. We track the precise asymptotic behavior of the solution if the interaction is weak, either because the ground state moves away from the potential or is very fast.

AB - We continue our study initiated in [4] of the interaction of a ground state with a potential considering here a class of trapping potentials. We track the precise asymptotic behavior of the solution if the interaction is weak, either because the ground state moves away from the potential or is very fast.

KW - Asymptotic stability

KW - Ground states

KW - Nonlinear Schrödinger equation

UR - http://www.scopus.com/inward/record.url?scp=84923765410&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84923765410&partnerID=8YFLogxK

U2 - 10.3934/dcds.2015.35.3343

DO - 10.3934/dcds.2015.35.3343

M3 - Article

AN - SCOPUS:84923765410

VL - 35

SP - 3343

EP - 3376

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

SN - 1078-0947

IS - 8

ER -

On weak interaction between a ground state and a trapping potential

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this