---
OA_place: repository
OA_type: green
_id: '22024'
abstract:
- lang: eng
  text: We revisit the proof of global well-posedness and scattering for the defocusing
    energy-critical NLS in three space dimensions in light of recent developments.
    This result was obtained previously by Colliander, Keel, Staffilani, Takaoka,
    and Tao.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Rowan
  full_name: Killip, Rowan
  last_name: Killip
- first_name: Monica
  full_name: Visan, Monica
  id: 056daca0-b8d1-11f0-964f-f91054abf8ca
  last_name: Visan
citation:
  ama: Killip R, Vişan M. Global well-posedness and scattering for the defocusing
    quintic NLS in three dimensions. <i>Analysis &#38; PDE</i>. 2012;5(4):855-885.
    doi:<a href="https://doi.org/10.2140/apde.2012.5.855">10.2140/apde.2012.5.855</a>
  apa: Killip, R., &#38; Vişan, M. (2012). Global well-posedness and scattering for
    the defocusing quintic NLS in three dimensions. <i>Analysis &#38; PDE</i>. Mathematical
    Sciences Publishers. <a href="https://doi.org/10.2140/apde.2012.5.855">https://doi.org/10.2140/apde.2012.5.855</a>
  chicago: Killip, Rowan, and Monica Vişan. “Global Well-Posedness and Scattering
    for the Defocusing Quintic NLS in Three Dimensions.” <i>Analysis &#38; PDE</i>.
    Mathematical Sciences Publishers, 2012. <a href="https://doi.org/10.2140/apde.2012.5.855">https://doi.org/10.2140/apde.2012.5.855</a>.
  ieee: R. Killip and M. Vişan, “Global well-posedness and scattering for the defocusing
    quintic NLS in three dimensions,” <i>Analysis &#38; PDE</i>, vol. 5, no. 4. Mathematical
    Sciences Publishers, pp. 855–885, 2012.
  ista: Killip R, Vişan M. 2012. Global well-posedness and scattering for the defocusing
    quintic NLS in three dimensions. Analysis &#38; PDE. 5(4), 855–885.
  mla: Killip, Rowan, and Monica Vişan. “Global Well-Posedness and Scattering for
    the Defocusing Quintic NLS in Three Dimensions.” <i>Analysis &#38; PDE</i>, vol.
    5, no. 4, Mathematical Sciences Publishers, 2012, pp. 855–85, doi:<a href="https://doi.org/10.2140/apde.2012.5.855">10.2140/apde.2012.5.855</a>.
  short: R. Killip, M. Vişan, Analysis &#38; PDE 5 (2012) 855–885.
das_tickbox: '1'
date_created: 2026-06-19T07:32:05Z
date_published: 2012-11-27T00:00:00Z
date_updated: 2026-06-22T10:20:04Z
day: '27'
doi: 10.2140/apde.2012.5.855
extern: '1'
external_id:
  arxiv:
  - '1102.1192'
fulldoi: https://doi.org/10.2140/apde.2012.5.855
intvolume: '         5'
issue: '4'
keyword:
- energy critical
- nonlinear Schrödinger
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1102.1192
month: '11'
oa: 1
oa_version: Preprint
page: 855-885
publication: Analysis & PDE
publication_identifier:
  eissn:
  - 1948-206X
  issn:
  - 2157-5045
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Global well-posedness and scattering for the defocusing quintic NLS in three
  dimensions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 5
year: '2012'
...