Modulational stability of ground states to nonlinear Kirchhoff equations

Jiunjan Zhang; Liu Zhang; Marco Squassina

doi:10.1016/j.jmaa.2019.04.067

Modulational stability of ground states to nonlinear Kirchhoff equations

Jiunjan Zhang
, Liu Zhang
, Marco Squassina^*

^*Autore corrispondente per questo lavoro

Risultato della ricerca: Contributo in rivista › Articolo

2 Citazioni (Scopus)

Abstract

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

Lingua originale	Inglese
pagine (da-a)	844-859
Numero di pagine	16
Rivista	Journal of Mathematical Analysis and Applications
Numero di pubblicazione	477
DOI	https://doi.org/10.1016/j.jmaa.2019.04.067
Stato di pubblicazione	Pubblicato - 2019

All Science Journal Classification (ASJC) codes

Analisi
Matematica Applicata

Keywords

ground states
stability

Accesso al documento

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\textbackslash{}r\textbackslash{}nequation in presence of a Kirchhoff term. Through a spectral analysis of the\textbackslash{}r\textbackslash{}nlinearized operator about ground states, we show a modulation stability estimate\textbackslash{}r\textbackslash{}nof ground states in the spirit of one due to Weinstein",

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

author = "Jiunjan Zhang and Liu Zhang and Marco Squassina",

year = "2019",

doi = "10.1016/j.jmaa.2019.04.067",

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journal = "Journal of Mathematical Analysis and Applications",

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AU - Zhang, Jiunjan

AU - Zhang, Liu

AU - Squassina, Marco

PY - 2019

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

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

KW - ground states

KW - stability

KW - ground states

KW - stability

UR - https://publicatt.unicatt.it/handle/10807/154882

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U2 - 10.1016/j.jmaa.2019.04.067

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M3 - Article

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SP - 844

EP - 859

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 477

ER -

Modulational stability of ground states to nonlinear Kirchhoff equations

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Accesso al documento

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