On stability of pseudo-conformal blowup for \(L^{2}\)-critical Hartree NLS
type: Item
instance of: scholarly article
title: On stability of pseudo-conformal blowup for \(L^{2}\)-critical Hartree NLS
zbMATH Open document ID: 1214.35064
author: Joachim Krieger
author: Enno Lenzmann
author: P. Raphaël
published in: Annales Henri Poincaré
publication date: 2011-02-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/0808.2324
review text: The authors consider the \(L^2\)-critical nonlinear Schrödinger equation in \({\mathbb R}^4\) with Hartree-type (nonlocal) nonlinearity. They prove the existence of critical mass finite-time blow-up solutions \(u(t,x)\) with blow-up rate \(\|\nabla u\|_{L^2}\sim \frac{1}{|t|}\) when \(t\rightarrow 0\).
reviewed by: Bernard Ducomet
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 5851533
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: Hartree equation
zbMATH Keywords: blow-up
MaRDI profile type: Publication
OpenAlex ID: W2951446737
arXiv ID: 0808.2324
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DOI: 10.1007/S00023-009-0010-2
description: scientific article