Global existence of solutions for a fourth-order nonlinear Schrödinger equation in \(n+1\) dimensions
type: Item
instance of: scholarly article
title: Global existence of solutions for a fourth-order nonlinear Schrödinger equation in \(n+1\) dimensions
zbMATH Open document ID: 1191.35253
author: Cuihua Guo
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-06-11T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 5720184
zbMATH Keywords: fourth-order Schrödinger equation
zbMATH Keywords: Cauchy problem
zbMATH Keywords: global existence
zbMATH Keywords: I-method
MaRDI profile type: Publication
full work available at URL: j.na.2010.03.052
OpenAlex ID: W1555615203
cites work: Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case
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cites work: Global existence of solutions for a fourth-order nonlinear Schrödinger equation
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cites work: Well-posedness of higher-order nonlinear Schrödinger equations in Sobolev spaces \(H^{s}(\mathbb R^{n})\) and applications
cites work: Global existence for semilinear Schrödinger equations in \(2+1\) dimensions
cites work: Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
cites work: Multilinear estimates for periodic KdV equations, and applications
DOI: 10.1016/J.NA.2010.03.052
description: scientific article; zbMATH DE number 5720184