Failure of scattering to standing waves for a Schrödinger equation with long-range nonlinearity on star graph
type: Item
instance of: scholarly article
title: Failure of scattering to standing waves for a Schrödinger equation with long-range nonlinearity on star graph
zbMATH Open document ID: 1464.35308
author: Kazuki Aoki
author: Takahisa Inui
author: Haruya Mizutani
published in: Journal of Evolution Equations
publication date: 2021-04-27T00:00:00Z
full work available at URL: https://arxiv.org/abs/1909.11332
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 81Q35
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 35R02
zbMATH DE Number: 7340073
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: long-range
zbMATH Keywords: star graph
MaRDI profile type: Publication
OpenAlex ID: W3023551721
arXiv ID: 1909.11332
cites work: FAST SOLITONS ON STAR GRAPHS
cites work: Variational properties and orbital stability of standing waves for NLS equation on a star graph
cites work: Extension theory approach in the stability of the standing waves for the NLS equation with point interactions on a star graph
cites work: Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
cites work: Q4434430
cites work: Inhomogeneous Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques
cites work: Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension \(n\geq{}2\)
cites work: Asymptotic behavior of solutions to certain nonlinear Schrödinger-Hartree equations
cites work: Blow-up and strong instability of standing waves for the NLS-\(\delta\) equation on a star graph
cites work: The Schrödinger equation on a star-shaped graph under general coupling conditions
cites work: Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
cites work: Orbital instability of standing waves for NLS equation on star graphs
cites work: Q3414419
cites work: Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations
cites work: Long range scattering for nonlinear Schrödinger equations in one space dimension
cites work: Q4191141
cites work: Final State Problem for the Cubic Nonlinear Schrödinger Equation with Repulsive Delta Potential
cites work: Q4051035
cites work: The asymptotic behavior of nonlinear Schrödinger equations
DOI: 10.1007/S00028-020-00579-W
description: scientific article