Modulational stability of ground states to nonlinear Kirchhoff equations

Jianjun Zhang; Zhisu Liu; Marco Squassina

doi:10.1016/j.jmaa.2019.04.067

Modulational stability of ground states to nonlinear Kirchhoff equations

Jianjun Zhang, Zhisu Liu, Marco Squassina

Risultato della ricerca: Contributo in rivista › Articolo in rivista

2 Citazioni (Scopus)

Abstract

We investigate the stability of ground states to a nonlinear focusing Schrödinger equation in presence of a Kirchhoff term. Through a spectral analysis of the linearized operator about ground states, we show a modulation stability estimate of ground states in the spirit of one due to Weinstein

Lingua originale	English
pagine (da-a)	844-859
Numero di pagine	16
Rivista	Journal of Mathematical Analysis and Applications
DOI	https://doi.org/10.1016/j.jmaa.2019.04.067
Stato di pubblicazione	Pubblicato - 2019

Keywords

stability, ground states

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10.1016/j.jmaa.2019.04.067

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title = "Modulational stability of ground states to nonlinear Kirchhoff equations",

abstract = "We investigate the stability of ground states to a nonlinear focusing Schr{\"o}dinger equation in presence of a Kirchhoff term. Through a spectral analysis of the linearized operator about ground states, we show a modulation stability estimate of ground states in the spirit of one due to Weinstein",

keywords = "stability, ground states, stability, ground states",

author = "Jianjun Zhang and Zhisu Liu and Marco Squassina",

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language = "English",

pages = "844--859",

journal = "Journal of Mathematical Analysis and Applications",

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TY - JOUR

T1 - Modulational stability of ground states to nonlinear Kirchhoff equations

AU - Zhang, Jianjun

AU - Liu, Zhisu

AU - Squassina, Marco

PY - 2019

Y1 - 2019

N2 - We investigate the stability of ground states to a nonlinear focusing Schrödinger equation in presence of a Kirchhoff term. Through a spectral analysis of the linearized operator about ground states, we show a modulation stability estimate of ground states in the spirit of one due to Weinstein

AB - We investigate the stability of ground states to a nonlinear focusing Schrödinger equation in presence of a Kirchhoff term. Through a spectral analysis of the linearized operator about ground states, we show a modulation stability estimate of ground states in the spirit of one due to Weinstein

KW - stability, ground states

UR - http://hdl.handle.net/10807/154882

U2 - 10.1016/j.jmaa.2019.04.067

DO - 10.1016/j.jmaa.2019.04.067

M3 - Article

SN - 0022-247X

SP - 844

EP - 859

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

ER -

Modulational stability of ground states to nonlinear Kirchhoff equations

Abstract

Keywords

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