[{"type":"journal_article","issue":"2","year":"2021","title":"Global well-posedness for the fifth-order KdV equation in H^-1(R)","publication":"Annals of PDE","language":[{"iso":"eng"}],"scopus_import":"1","quality_controlled":"1","date_created":"2026-06-19T07:44:49Z","volume":7,"status":"public","citation":{"short":"B. Bringmann, R. Killip, M. Vişan, Annals of PDE 7 (2021).","ista":"Bringmann B, Killip R, Vişan M. 2021. Global well-posedness for the fifth-order KdV equation in H^-1(R). Annals of PDE. 7(2), 21.","ama":"Bringmann B, Killip R, Vişan M. Global well-posedness for the fifth-order KdV equation in H^-1(R). <i>Annals of PDE</i>. 2021;7(2). doi:<a href=\"https://doi.org/10.1007/s40818-021-00111-4\">10.1007/s40818-021-00111-4</a>","mla":"Bringmann, Bjoern, et al. “Global Well-Posedness for the Fifth-Order KdV Equation in H^-1(R).” <i>Annals of PDE</i>, vol. 7, no. 2, 21, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s40818-021-00111-4\">10.1007/s40818-021-00111-4</a>.","ieee":"B. Bringmann, R. Killip, and M. Vişan, “Global well-posedness for the fifth-order KdV equation in H^-1(R),” <i>Annals of PDE</i>, vol. 7, no. 2. Springer Nature, 2021.","apa":"Bringmann, B., Killip, R., &#38; Vişan, M. (2021). Global well-posedness for the fifth-order KdV equation in H^-1(R). <i>Annals of PDE</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s40818-021-00111-4\">https://doi.org/10.1007/s40818-021-00111-4</a>","chicago":"Bringmann, Bjoern, Rowan Killip, and Monica Vişan. “Global Well-Posedness for the Fifth-Order KdV Equation in H^-1(R).” <i>Annals of PDE</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s40818-021-00111-4\">https://doi.org/10.1007/s40818-021-00111-4</a>."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_identifier":{"issn":["2524-5317"],"eissn":["2199-2576"]},"OA_place":"repository","intvolume":"         7","article_number":"21","date_published":"2021-08-25T00:00:00Z","arxiv":1,"day":"25","extern":"1","_id":"22038","external_id":{"arxiv":["1912.01536"]},"publisher":"Springer Nature","publication_status":"published","author":[{"last_name":"Bringmann","full_name":"Bringmann, Bjoern","first_name":"Bjoern"},{"full_name":"Killip, Rowan","first_name":"Rowan","last_name":"Killip"},{"id":"056daca0-b8d1-11f0-964f-f91054abf8ca","last_name":"Visan","full_name":"Visan, Monica","first_name":"Monica"}],"article_processing_charge":"No","abstract":[{"text":"We prove global well-posedness of the fifth-order Korteweg-de Vries equation on the real line for initial data in H^-1(R). Global well-posedness in L^2(R) was shown previously in [8] using the method of commuting flows. Since this method is insensitive to the ambient geometry, it cannot go beyond the sharp L^2 threshold for the torus demonstrated in [3]. To prove our result, we introduce a new strategy that integrates dispersive effects into the method of commuting flows.","lang":"eng"}],"doi":"10.1007/s40818-021-00111-4","oa":1,"article_type":"original","das_tickbox":"1","oa_version":"Preprint","month":"08","date_updated":"2026-06-22T13:03:48Z","OA_type":"green","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1912.01536"}]}]