Stability of standing waves for the fractional Schrödinger-Choquard equation
type: Item
instance of: scholarly article
title: Stability of standing waves for the fractional Schrödinger-Choquard equation
zbMATH Open document ID: 1409.35213
author: Binhua Feng
author: Honghong Zhang
publication date: 2019-03-25T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 7041134
zbMATH Keywords: fractional Schrödinger-Choquard equation
zbMATH Keywords: \(L^2\)-critical nonlinearity
zbMATH Keywords: orbital stability of standing waves
MaRDI profile type: Publication
full work available at URL: j.camwa.2017.12.025
OpenAlex ID: W2782589491
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: Blowup for fractional NLS
cites work: On the Cauchy problem of fractional Schrödinger equation with Hartree type nonlinearity
cites work: On the orbital stability of fractional Schrödinger equations
cites work: Profile decompositions and blowup phenomena of mass critical fractional Schrödinger equations
cites work: On finite time blow-up for the mass-critical Hartree equations
cites work: Well-posedness and ill-posedness for the cubic fractional Schrödinger equations
cites work: Stability of standing waves for the fractional Schrödinger-Hartree equation
cites work: Sharp threshold of blow-up and scattering for the fractional Hartree equation
cites work: On fractional Schrödinger equations in Sobolev spaces
cites work: Stability of standing waves for the nonlinear fractional Schrödinger equation
cites work: On the blow-up solutions for the nonlinear fractional Schrödinger equation
cites work: Existence of stable standing waves for the fractional Schrödinger equations with combined nonlinearities
cites work: Numerical study of fractional nonlinear Schrödinger equations
cites work: On fractional Schrödinger systems of Choquard type
cites work: Orbital stability of standing waves for some nonlinear Schrödinger equations
cites work: On the blow-up solutions for the fractional nonlinear Schrödinger equation with combined power-type nonlinearities
cites work: On singularity formation for theL2-critical Boson star equation
cites work: Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars
cites work: Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates
cites work: Q4434430
cites work: Sharp threshold of global existence and instability of standing wave for the Schrödinger-Hartree equation with a harmonic potential
cites work: On the Cauchy problem for the Schrödinger-Hartree equation
cites work: Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equations
cites work: Analysis.
cites work: Q5717959
cites work: Description of the lack of compactness for the Sobolev imbedding
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. I
cites work: On the Cauchy problem for the nonlinear Schrödinger equations with time-dependent linear loss/gain
cites work: On the Davey-Stewartson system with competing nonlinearities
cites work: Existence and stability of a two-parameter family of solitary waves for an NLS-KdV system
cites work: Stability of normalized solitary waves for three coupled nonlinear Schrödinger equations
cites work: Existence and orbital stability of standing waves for nonlinear Schrödinger systems
cites work: Compactness of Minimizing Sequences in Nonlinear Schrödinger Systems Under Multiconstraint Conditions
cites work: Orbital stability of solitary waves for a nonlinear Schrödinger system
cites work: Orbital stability of solitary waves of a 3-coupled nonlinear Schrödinger system
DOI: 10.1016/J.CAMWA.2017.12.025
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 7041134