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

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10.3934/dcds.2015.35.3343

Cite this

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

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KW - Asymptotic stability

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KW - Nonlinear Schrödinger equation

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On weak interaction between a ground state and a trapping potential

Abstract

Keywords

ASJC Scopus subject areas

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