---
OA_place: repository
OA_type: green
_id: '22073'
abstract:
- lang: eng
  text: We prove scale-invariant Strichartz inequalities for the Schrödinger equation
    on rectangular tori (rational or irrational) in all dimensions. We use these estimates
    to give a simpler treatment of local well-posedness of the energy-critical nonlinear
    Schrödinger equation in dimensions three and four.
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. Scale-invariant Strichartz estimates on tori and applications.
    <i>Mathematical Research Letters</i>. 2016;23(2):445-472. doi:<a href="https://doi.org/10.4310/mrl.2016.v23.n2.a8">10.4310/mrl.2016.v23.n2.a8</a>
  apa: Killip, R., &#38; Vişan, M. (2016). Scale-invariant Strichartz estimates on
    tori and applications. <i>Mathematical Research Letters</i>. International Press.
    <a href="https://doi.org/10.4310/mrl.2016.v23.n2.a8">https://doi.org/10.4310/mrl.2016.v23.n2.a8</a>
  chicago: Killip, Rowan, and Monica Vişan. “Scale-Invariant Strichartz Estimates
    on Tori and Applications.” <i>Mathematical Research Letters</i>. International
    Press, 2016. <a href="https://doi.org/10.4310/mrl.2016.v23.n2.a8">https://doi.org/10.4310/mrl.2016.v23.n2.a8</a>.
  ieee: R. Killip and M. Vişan, “Scale-invariant Strichartz estimates on tori and
    applications,” <i>Mathematical Research Letters</i>, vol. 23, no. 2. International
    Press, pp. 445–472, 2016.
  ista: Killip R, Vişan M. 2016. Scale-invariant Strichartz estimates on tori and
    applications. Mathematical Research Letters. 23(2), 445–472.
  mla: Killip, Rowan, and Monica Vişan. “Scale-Invariant Strichartz Estimates on Tori
    and Applications.” <i>Mathematical Research Letters</i>, vol. 23, no. 2, International
    Press, 2016, pp. 445–72, doi:<a href="https://doi.org/10.4310/mrl.2016.v23.n2.a8">10.4310/mrl.2016.v23.n2.a8</a>.
  short: R. Killip, M. Vişan, Mathematical Research Letters 23 (2016) 445–472.
das_tickbox: '1'
date_created: 2026-06-19T08:22:27Z
date_published: 2016-06-06T00:00:00Z
date_updated: 2026-06-30T10:59:10Z
day: '06'
doi: 10.4310/mrl.2016.v23.n2.a8
extern: '1'
external_id:
  arxiv:
  - '1409.3603'
intvolume: '        23'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: 'https://doi.org/10.48550/arXiv.1409.3603 '
month: '06'
oa: 1
oa_version: Preprint
page: 445-472
publication: Mathematical Research Letters
publication_identifier:
  eissn:
  - 1945-001X
  issn:
  - 1073-2780
publication_status: published
publisher: International Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Scale-invariant Strichartz estimates on tori and applications
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 23
year: '2016'
...