---
OA_place: repository
OA_type: green
_id: '22055'
abstract:
- lang: eng
  text: We present a general method for obtaining conservation laws for integrable
    PDE at negative regularity and exhibit its application to KdV, NLS, and mKdV.
    Our method works uniformly for these problems posed both on the line and on the
    circle.
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
- first_name: Xiaoyi
  full_name: Zhang, Xiaoyi
  last_name: Zhang
citation:
  ama: Killip R, Vişan M, Zhang X. Low regularity conservation laws for integrable
    PDE. <i>Geometric and Functional Analysis</i>. 2018;28(4):1062-1090. doi:<a href="https://doi.org/10.1007/s00039-018-0444-0">10.1007/s00039-018-0444-0</a>
  apa: Killip, R., Vişan, M., &#38; Zhang, X. (2018). Low regularity conservation
    laws for integrable PDE. <i>Geometric and Functional Analysis</i>. Springer Nature.
    <a href="https://doi.org/10.1007/s00039-018-0444-0">https://doi.org/10.1007/s00039-018-0444-0</a>
  chicago: Killip, Rowan, Monica Vişan, and Xiaoyi Zhang. “Low Regularity Conservation
    Laws for Integrable PDE.” <i>Geometric and Functional Analysis</i>. Springer Nature,
    2018. <a href="https://doi.org/10.1007/s00039-018-0444-0">https://doi.org/10.1007/s00039-018-0444-0</a>.
  ieee: R. Killip, M. Vişan, and X. Zhang, “Low regularity conservation laws for integrable
    PDE,” <i>Geometric and Functional Analysis</i>, vol. 28, no. 4. Springer Nature,
    pp. 1062–1090, 2018.
  ista: Killip R, Vişan M, Zhang X. 2018. Low regularity conservation laws for integrable
    PDE. Geometric and Functional Analysis. 28(4), 1062–1090.
  mla: Killip, Rowan, et al. “Low Regularity Conservation Laws for Integrable PDE.”
    <i>Geometric and Functional Analysis</i>, vol. 28, no. 4, Springer Nature, 2018,
    pp. 1062–90, doi:<a href="https://doi.org/10.1007/s00039-018-0444-0">10.1007/s00039-018-0444-0</a>.
  short: R. Killip, M. Vişan, X. Zhang, Geometric and Functional Analysis 28 (2018)
    1062–1090.
das_tickbox: '1'
date_created: 2026-06-19T07:56:48Z
date_published: 2018-07-01T00:00:00Z
date_updated: 2026-06-29T09:55:53Z
day: '01'
doi: 10.1007/s00039-018-0444-0
extern: '1'
external_id:
  arxiv:
  - '1708.05362'
intvolume: '        28'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1708.05362
month: '07'
oa: 1
oa_version: Preprint
page: 1062-1090
publication: Geometric and Functional Analysis
publication_identifier:
  eissn:
  - 1420-8970
  issn:
  - 1016-443X
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Low regularity conservation laws for integrable PDE
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 28
year: '2018'
...