{"OA_place":"repository","publication_identifier":{"eissn":["1687-0247"],"issn":["1073-7928"]},"arxiv":1,"page":"4601-4642","date_published":"2023-03-01T00:00:00Z","intvolume":"      2023","language":[{"iso":"eng"}],"title":"Large-data equicontinuity for the derivative NLS","publication":"International Mathematics Research Notices","type":"journal_article","year":"2023","issue":"6","citation":{"ista":"Harrop-Griffiths B, Killip R, Vişan M. 2023. Large-data equicontinuity for the derivative NLS. International Mathematics Research Notices. 2023(6), 4601–4642.","short":"B. Harrop-Griffiths, R. Killip, M. Vişan, International Mathematics Research Notices 2023 (2023) 4601–4642.","mla":"Harrop-Griffiths, Benjamin, et al. “Large-Data Equicontinuity for the Derivative NLS.” <i>International Mathematics Research Notices</i>, vol. 2023, no. 6, Oxford University Press, 2023, pp. 4601–42, doi:<a href=\"https://doi.org/10.1093/imrn/rnab374\">10.1093/imrn/rnab374</a>.","ama":"Harrop-Griffiths B, Killip R, Vişan M. Large-data equicontinuity for the derivative NLS. <i>International Mathematics Research Notices</i>. 2023;2023(6):4601-4642. doi:<a href=\"https://doi.org/10.1093/imrn/rnab374\">10.1093/imrn/rnab374</a>","apa":"Harrop-Griffiths, B., Killip, R., &#38; Vişan, M. (2023). Large-data equicontinuity for the derivative NLS. <i>International Mathematics Research Notices</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/imrn/rnab374\">https://doi.org/10.1093/imrn/rnab374</a>","ieee":"B. Harrop-Griffiths, R. Killip, and M. Vişan, “Large-data equicontinuity for the derivative NLS,” <i>International Mathematics Research Notices</i>, vol. 2023, no. 6. Oxford University Press, pp. 4601–4642, 2023.","chicago":"Harrop-Griffiths, Benjamin, Rowan Killip, and Monica Vişan. “Large-Data Equicontinuity for the Derivative NLS.” <i>International Mathematics Research Notices</i>. Oxford University Press, 2023. <a href=\"https://doi.org/10.1093/imrn/rnab374\">https://doi.org/10.1093/imrn/rnab374</a>."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","volume":2023,"status":"public","date_created":"2026-06-19T08:22:03Z","scopus_import":"1","quality_controlled":"1","das_tickbox":"1","oa_version":"Preprint","oa":1,"article_type":"original","OA_type":"green","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2106.13333"}],"date_updated":"2026-06-30T10:56:42Z","month":"03","article_processing_charge":"No","abstract":[{"text":"We consider the derivative nonlinear Schrödinger equation in one spatial dimension, which is known to be completely integrable. We prove that the orbits of L^2 bounded and equicontinuous sets of initial data remain bounded and equicontinuous, not only under this flow, but also under the entire hierarchy. This allows us to remove the small-data restriction from prior conservation laws and global well-posedness results.","lang":"eng"}],"doi":"10.1093/imrn/rnab374","extern":"1","external_id":{"arxiv":["2106.13333"]},"_id":"22072","publisher":"Oxford University Press","author":[{"first_name":"Benjamin","full_name":"Harrop-Griffiths, Benjamin","last_name":"Harrop-Griffiths"},{"first_name":"Rowan","full_name":"Killip, Rowan","last_name":"Killip"},{"id":"056daca0-b8d1-11f0-964f-f91054abf8ca","last_name":"Visan","first_name":"Monica","full_name":"Visan, Monica"}],"publication_status":"published","day":"01"}