[{"extern":"1","_id":"22096","publisher":"Springer Nature","author":[{"full_name":"Harrop-Griffiths, B.","first_name":"B.","last_name":"Harrop-Griffiths"},{"last_name":"Killip","full_name":"Killip, R.","first_name":"R."},{"full_name":"Visan, Monica","first_name":"Monica","last_name":"Visan","id":"056daca0-b8d1-11f0-964f-f91054abf8ca"}],"external_id":{"arxiv":["2506.23868"]},"publication_status":"published","day":"08","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_processing_charge":"No","doi":"10.1007/s00028-026-01228-4","date_updated":"2026-07-02T06:02:36Z","month":"06","OA_type":"green","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2506.23868","open_access":"1"}],"article_type":"original","oa":1,"das_tickbox":"1","oa_version":"Preprint","date_created":"2026-06-19T08:58:33Z","quality_controlled":"1","scopus_import":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"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>.","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>","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.","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>.","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>","short":"B. Harrop-Griffiths, R. Killip, M. Vişan, Journal of Evolution Equations 26 (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."},"volume":26,"status":"public","type":"journal_article","issue":"3","year":"2026","language":[{"iso":"eng"}],"title":"A priori bounds and equicontinuity of orbits for the intermediate long wave equation","publication":"Journal of Evolution Equations","intvolume":"        26","arxiv":1,"date_published":"2026-06-08T00:00:00Z","article_number":"81","publication_identifier":{"issn":["1424-3199"],"eissn":["1424-3202"]},"OA_place":"repository"}]