On the focusing energy-critical fractional nonlinear Schrödinger equations
type: Item
instance of: scholarly article
title: On the focusing energy-critical fractional nonlinear Schrödinger equations
zbMATH Open document ID: 1383.35206
author: Yonggeun Cho
author: Gyeongha Hwang
author: Tohru Ozawa
published in: Advances in Differential Equations
publication date: 2018-01-04T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ade/1513652445
review text: The authors consider the fractional nonlinear Schrödinger equation (FNLS) with non-local dispersion \(|\nabla|^\alpha\) and focusing energy-critical Hartree type nonlinearity \(-(| x|^{-2\alpha}\ast| u|^2)u\). They establish the global well-posedness for the radial case in energy space when the initial energy and initial kinetic energy are less than those of the ground state, respectively. Moreover, they prove finite time blowup via commutator techniques.
reviewed by: Guido Schneider
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35B44
zbMATH DE Number: 6822197
zbMATH Keywords: global existence
zbMATH Keywords: blow up
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6822197