[{"author":[{"first_name":"Benjamin","last_name":"Harrop-Griffiths","full_name":"Harrop-Griffiths, Benjamin"},{"first_name":"Rowan","full_name":"Killip, Rowan","last_name":"Killip"},{"last_name":"Ntekoume","full_name":"Ntekoume, Maria","first_name":"Maria"},{"full_name":"Visan, Monica","last_name":"Visan","first_name":"Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca"}],"oa_version":"Preprint","date_updated":"2026-06-30T07:04:07Z","intvolume":"        28","abstract":[{"text":"We prove that the derivative nonlinear Schrödinger equation in one space dimension is globally well-posed on the line in L^2 (R), which is the scaling-critical space for this equation.","lang":"eng"}],"title":"Global well-posedness for the derivative nonlinear Schrödinger equation in L^2(R)","day":"26","OA_type":"green","publication_identifier":{"eissn":["1435-9863"],"issn":["1435-9855"]},"mathsc":["35Q55"],"publication":"Journal of the European Mathematical Society","date_created":"2026-06-19T08:11:46Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2204.12548"}],"status":"public","article_processing_charge":"No","OA_place":"repository","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","citation":{"ieee":"B. Harrop-Griffiths, R. Killip, M. Ntekoume, and M. Vişan, “Global well-posedness for the derivative nonlinear Schrödinger equation in L^2(R),” <i>Journal of the European Mathematical Society</i>, vol. 28, no. 2. EMS Press, pp. 843–924, 2024.","ama":"Harrop-Griffiths B, Killip R, Ntekoume M, Vişan M. Global well-posedness for the derivative nonlinear Schrödinger equation in L^2(R). <i>Journal of the European Mathematical Society</i>. 2024;28(2):843-924. doi:<a href=\"https://doi.org/10.4171/jems/1490\">10.4171/jems/1490</a>","apa":"Harrop-Griffiths, B., Killip, R., Ntekoume, M., &#38; Vişan, M. (2024). Global well-posedness for the derivative nonlinear Schrödinger equation in L^2(R). <i>Journal of the European Mathematical Society</i>. EMS Press. <a href=\"https://doi.org/10.4171/jems/1490\">https://doi.org/10.4171/jems/1490</a>","mla":"Harrop-Griffiths, Benjamin, et al. “Global Well-Posedness for the Derivative Nonlinear Schrödinger Equation in L^2(R).” <i>Journal of the European Mathematical Society</i>, vol. 28, no. 2, EMS Press, 2024, pp. 843–924, doi:<a href=\"https://doi.org/10.4171/jems/1490\">10.4171/jems/1490</a>.","chicago":"Harrop-Griffiths, Benjamin, Rowan Killip, Maria Ntekoume, and Monica Vişan. “Global Well-Posedness for the Derivative Nonlinear Schrödinger Equation in L^2(R).” <i>Journal of the European Mathematical Society</i>. EMS Press, 2024. <a href=\"https://doi.org/10.4171/jems/1490\">https://doi.org/10.4171/jems/1490</a>.","ista":"Harrop-Griffiths B, Killip R, Ntekoume M, Vişan M. 2024. Global well-posedness for the derivative nonlinear Schrödinger equation in L^2(R). Journal of the European Mathematical Society. 28(2), 843–924.","short":"B. Harrop-Griffiths, R. Killip, M. Ntekoume, M. Vişan, Journal of the European Mathematical Society 28 (2024) 843–924."},"volume":28,"type":"journal_article","arxiv":1,"month":"06","scopus_import":"1","_id":"22062","external_id":{"arxiv":["2204.12548"]},"page":"843-924","quality_controlled":"1","year":"2024","oa":1,"doi":"10.4171/jems/1490","language":[{"iso":"eng"}],"date_published":"2024-06-26T00:00:00Z","publisher":"EMS Press","issue":"2","article_type":"original","extern":"1"}]