Global solution for a sixth-order nonlinear Schrödinger equation
type: Item
instance of: scholarly article
title: Global solution for a sixth-order nonlinear Schrödinger equation
zbMATH Open document ID: 1446.35184
author: Chein-Shan Liu
author: Huimin Wang
author: Zhaosheng Feng
published in: Journal of Mathematical Analysis and Applications
publication date: 2020-07-13T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 7219787
zbMATH Keywords: existence
zbMATH Keywords: global solution
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: Hölder's inequality
zbMATH Keywords: Cauchy problem
MaRDI profile type: Publication
full work available at URL: j.jmaa.2020.124327
OpenAlex ID: W3040096637
cites work: Sharp Strichartz inequalities for fractional and higher-order Schrödinger equations
cites work: Persistence of solutions to higher order nonlinear Schrödinger equation
cites work: Spectral transverse instabilities and soliton dynamics in the higher-order multidimensional nonlinear Schrödinger equation
cites work: Well-posedness of higher-order nonlinear Schrödinger equations in Sobolev spaces \(H^{s}(\mathbb R^{n})\) and applications
cites work: Unique continuation properties of the higher order nonlinear Schrödinger equations in one dimension
cites work: Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations
cites work: Wellposedness for the fourth order nonlinear Schrödinger equations
cites work: Global existence and asymptotic behavior of solutions to the fourth-order nonlinear Schrödinger equation in the critical case
cites work: Large time asymptotics for the fourth-order nonlinear Schrödinger equation
cites work: Well-posedness for the fourth-order nonlinear derivative Schrödinger equation in higher dimension
cites work: Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
cites work: Solutions to nonlinear higher order Schrödinger equations with small initial data on modulation spaces
cites work: Global Well-Posedness for Higher-Order Schrödinger Equations in WeightedL2Spaces
cites work: Stable Pulse Solutions for the Nonlinear Schrödinger Equation with Higher Order Dispersion Management
cites work: Q3466963
cites work: Global well-posedness and scattering for the fourth order nonlinear Schrödinger equations with small data in modulation and Sobolev spaces
cites work: Two positive solutions to non-autonomous Schrödinger–Poisson systems
cites work: Global well-posedness for the generalised fourth-order Schrödinger equation
cites work: Nonlinear fourth-order Schrödinger equations with radial data
DOI: 10.1016/J.JMAA.2020.124327
description: scientific article; zbMATH DE number 7219787