---
OA_place: repository
OA_type: green
_id: '22050'
abstract:
- lang: eng
  text: "We obtain global well-posedness, scattering, and global L2(n+2)/(n−2)/t,x
    space-time\r\nbounds for energy-space solutions to the energy-critical nonlinear
    Schrodinger (NLS) ¨\r\nequation in Rt × Rn/x , n ≥ 5."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Monica
  full_name: Visan, Monica
  id: 056daca0-b8d1-11f0-964f-f91054abf8ca
  last_name: Visan
citation:
  ama: Vişan M. The defocusing energy-critical nonlinear Schrödinger equation in higher
    dimensions. <i>Duke Mathematical Journal</i>. 2007;138(2):281-374. doi:<a href="https://doi.org/10.1215/s0012-7094-07-13825-0">10.1215/s0012-7094-07-13825-0</a>
  apa: Vişan, M. (2007). The defocusing energy-critical nonlinear Schrödinger equation
    in higher dimensions. <i>Duke Mathematical Journal</i>. Duke University Press.
    <a href="https://doi.org/10.1215/s0012-7094-07-13825-0">https://doi.org/10.1215/s0012-7094-07-13825-0</a>
  chicago: Vişan, Monica. “The Defocusing Energy-Critical Nonlinear Schrödinger Equation
    in Higher Dimensions.” <i>Duke Mathematical Journal</i>. Duke University Press,
    2007. <a href="https://doi.org/10.1215/s0012-7094-07-13825-0">https://doi.org/10.1215/s0012-7094-07-13825-0</a>.
  ieee: M. Vişan, “The defocusing energy-critical nonlinear Schrödinger equation in
    higher dimensions,” <i>Duke Mathematical Journal</i>, vol. 138, no. 2. Duke University
    Press, pp. 281–374, 2007.
  ista: Vişan M. 2007. The defocusing energy-critical nonlinear Schrödinger equation
    in higher dimensions. Duke Mathematical Journal. 138(2), 281–374.
  mla: Vişan, Monica. “The Defocusing Energy-Critical Nonlinear Schrödinger Equation
    in Higher Dimensions.” <i>Duke Mathematical Journal</i>, vol. 138, no. 2, Duke
    University Press, 2007, pp. 281–374, doi:<a href="https://doi.org/10.1215/s0012-7094-07-13825-0">10.1215/s0012-7094-07-13825-0</a>.
  short: M. Vişan, Duke Mathematical Journal 138 (2007) 281–374.
das_tickbox: '1'
date_created: 2026-06-19T07:53:37Z
date_published: 2007-06-01T00:00:00Z
date_updated: 2026-06-25T08:18:44Z
day: '01'
doi: 10.1215/s0012-7094-07-13825-0
extern: '1'
external_id:
  arxiv:
  - math/0508298
fulldoi: https://doi.org/10.1215/s0012-7094-07-13825-0
intvolume: '       138'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.math/0508298
mathsc:
- 35Q55
month: '06'
oa: 1
oa_version: Preprint
page: 281-374
publication: Duke Mathematical Journal
publication_identifier:
  issn:
  - 0012-7094
publication_status: published
publisher: Duke University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 138
year: '2007'
...