log–log blow up solutions blow up at exactly m points

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Dec 2017Embargo end date: 01 Jan 2015Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Annales de l'Institut Henri Poincaré C, Analyse non linéaire, volume 34, pages 1,429-1,482 (issn: 0294-1449, eissn: 1873-1430,

Copyright policy )Funded by:NSF | Free Boundaries, Level Su..., NSF | Dispersive partial differ..., NSF | FRG: Collaborative Resear...

Authors: Fan, Chenjie;

doi: 10.1016/j.anihpc.2016.11.002 , 10.48550/arxiv.1510.00961

arXiv: 1510.00961

log–log blow up solutions blow up at exactly m points

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Abstract

We study the focusing mass-critical nonlinear Schrödinger equation, and construct certain solutions which blow up at exactly m points according to the log–log law. Résumé Nous étudions l'équation de Schrödinger non linéaire focalisante de masse critique, et construisons certaines solutions avec exactement m points d'explosion d'après la loi de log–log.

Related Organizations

Massachusetts Institute of Technology
United States
Massachusetts Institute of Technology Dept. of Economics
United States

Keywords

topological argument, log-log blow up, NLS equations (nonlinear Schrödinger equations), Smoothness and regularity of solutions to PDEs, NLS, Blow-up in context of PDEs, propagation of regularity, Mathematics - Analysis of PDEs, FOS: Mathematics, \(m\) points blow up, bootstrap, Analysis of PDEs (math.AP)

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