---
OA_place: repository
OA_type: green
_id: '22096'
abstract:
- lang: eng
  text: "We prove uniform-in-time a priori Hs bounds for solutions to the intermediate
    longwave equation\r\nposed both on the line and on the circle, covering the range
    −1\r\n2 < s ≤ 0. Additionally, we prove that the\r\nset of orbits emanating from
    a bounded and equicontinuous set in Hs is also bounded and equicontinuous\r\nin
    Hs . Our proof is based on the identification of a suitable Lax pair formulation
    for the intermediate long\r\nwave equation."
article_number: '81'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: B.
  full_name: Harrop-Griffiths, B.
  last_name: Harrop-Griffiths
- first_name: R.
  full_name: Killip, R.
  last_name: Killip
- first_name: Monica
  full_name: Visan, Monica
  id: 056daca0-b8d1-11f0-964f-f91054abf8ca
  last_name: Visan
citation:
  ama: Harrop-Griffiths B, Killip R, Vişan M. A priori bounds and equicontinuity of
    orbits for the intermediate long wave equation. <i>Journal of Evolution Equations</i>.
    2026;26(3). doi:<a href="https://doi.org/10.1007/s00028-026-01228-4">10.1007/s00028-026-01228-4</a>
  apa: Harrop-Griffiths, B., Killip, R., &#38; Vişan, M. (2026). A priori bounds and
    equicontinuity of orbits for the intermediate long wave equation. <i>Journal of
    Evolution Equations</i>. Springer Nature. <a href="https://doi.org/10.1007/s00028-026-01228-4">https://doi.org/10.1007/s00028-026-01228-4</a>
  chicago: Harrop-Griffiths, B., R. Killip, and Monica Vişan. “A Priori Bounds and
    Equicontinuity of Orbits for the Intermediate Long Wave Equation.” <i>Journal
    of Evolution Equations</i>. Springer Nature, 2026. <a href="https://doi.org/10.1007/s00028-026-01228-4">https://doi.org/10.1007/s00028-026-01228-4</a>.
  ieee: B. Harrop-Griffiths, R. Killip, and M. Vişan, “A priori bounds and equicontinuity
    of orbits for the intermediate long wave equation,” <i>Journal of Evolution Equations</i>,
    vol. 26, no. 3. Springer Nature, 2026.
  ista: Harrop-Griffiths B, Killip R, Vişan M. 2026. A priori bounds and equicontinuity
    of orbits for the intermediate long wave equation. Journal of Evolution Equations.
    26(3), 81.
  mla: Harrop-Griffiths, B., et al. “A Priori Bounds and Equicontinuity of Orbits
    for the Intermediate Long Wave Equation.” <i>Journal of Evolution Equations</i>,
    vol. 26, no. 3, 81, Springer Nature, 2026, doi:<a href="https://doi.org/10.1007/s00028-026-01228-4">10.1007/s00028-026-01228-4</a>.
  short: B. Harrop-Griffiths, R. Killip, M. Vişan, Journal of Evolution Equations
    26 (2026).
das_tickbox: '1'
date_created: 2026-06-19T08:58:33Z
date_published: 2026-06-08T00:00:00Z
date_updated: 2026-07-02T06:02:36Z
day: '08'
doi: 10.1007/s00028-026-01228-4
extern: '1'
external_id:
  arxiv:
  - '2506.23868'
intvolume: '        26'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2506.23868
month: '06'
oa: 1
oa_version: Preprint
publication: Journal of Evolution Equations
publication_identifier:
  eissn:
  - 1424-3202
  issn:
  - 1424-3199
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: A priori bounds and equicontinuity of orbits for the intermediate long wave
  equation
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 26
year: '2026'
...