{"intvolume":"         7","arxiv":1,"date_published":"2021-08-25T00:00:00Z","article_number":"21","publication_identifier":{"issn":["2524-5317"],"eissn":["2199-2576"]},"OA_place":"repository","date_created":"2026-06-19T07:44:49Z","quality_controlled":"1","scopus_import":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"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>.","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>","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.","short":"B. Bringmann, R. Killip, M. Vişan, Annals of PDE 7 (2021).","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>.","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>","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."},"status":"public","volume":7,"year":"2021","issue":"2","type":"journal_article","language":[{"iso":"eng"}],"publication":"Annals of PDE","title":"Global well-posedness for the fifth-order KdV equation in H^-1(R)","date_updated":"2026-06-22T13:03:48Z","month":"08","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1912.01536","open_access":"1"}],"OA_type":"green","oa":1,"article_type":"original","oa_version":"Preprint","das_tickbox":"1","_id":"22038","external_id":{"arxiv":["1912.01536"]},"publication_status":"published","publisher":"Springer Nature","author":[{"first_name":"Bjoern","full_name":"Bringmann, Bjoern","last_name":"Bringmann"},{"first_name":"Rowan","full_name":"Killip, Rowan","last_name":"Killip"},{"first_name":"Monica","full_name":"Visan, Monica","last_name":"Visan","id":"056daca0-b8d1-11f0-964f-f91054abf8ca"}],"extern":"1","day":"25","doi":"10.1007/s40818-021-00111-4","abstract":[{"lang":"eng","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."}],"article_processing_charge":"No"}