[{"date_updated":"2026-06-29T09:55:53Z","volume":28,"issue":"4","oa":1,"type":"journal_article","month":"07","oa_version":"Preprint","status":"public","publication":"Geometric and Functional Analysis","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Killip","first_name":"Rowan","full_name":"Killip, Rowan"},{"id":"056daca0-b8d1-11f0-964f-f91054abf8ca","full_name":"Visan, Monica","first_name":"Monica","last_name":"Visan"},{"first_name":"Xiaoyi","full_name":"Zhang, Xiaoyi","last_name":"Zhang"}],"_id":"22055","article_type":"original","arxiv":1,"OA_place":"repository","scopus_import":"1","doi":"10.1007/s00039-018-0444-0","quality_controlled":"1","publication_status":"published","date_created":"2026-06-19T07:56:48Z","intvolume":"        28","publisher":"Springer Nature","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1708.05362","open_access":"1"}],"article_processing_charge":"No","year":"2018","citation":{"ieee":"R. Killip, M. Vişan, and X. Zhang, “Low regularity conservation laws for integrable PDE,” <i>Geometric and Functional Analysis</i>, vol. 28, no. 4. Springer Nature, pp. 1062–1090, 2018.","short":"R. Killip, M. Vişan, X. Zhang, Geometric and Functional Analysis 28 (2018) 1062–1090.","ista":"Killip R, Vişan M, Zhang X. 2018. Low regularity conservation laws for integrable PDE. Geometric and Functional Analysis. 28(4), 1062–1090.","ama":"Killip R, Vişan M, Zhang X. Low regularity conservation laws for integrable PDE. <i>Geometric and Functional Analysis</i>. 2018;28(4):1062-1090. doi:<a href=\"https://doi.org/10.1007/s00039-018-0444-0\">10.1007/s00039-018-0444-0</a>","chicago":"Killip, Rowan, Monica Vişan, and Xiaoyi Zhang. “Low Regularity Conservation Laws for Integrable PDE.” <i>Geometric and Functional Analysis</i>. Springer Nature, 2018. <a href=\"https://doi.org/10.1007/s00039-018-0444-0\">https://doi.org/10.1007/s00039-018-0444-0</a>.","apa":"Killip, R., Vişan, M., &#38; Zhang, X. (2018). Low regularity conservation laws for integrable PDE. <i>Geometric and Functional Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00039-018-0444-0\">https://doi.org/10.1007/s00039-018-0444-0</a>","mla":"Killip, Rowan, et al. “Low Regularity Conservation Laws for Integrable PDE.” <i>Geometric and Functional Analysis</i>, vol. 28, no. 4, Springer Nature, 2018, pp. 1062–90, doi:<a href=\"https://doi.org/10.1007/s00039-018-0444-0\">10.1007/s00039-018-0444-0</a>."},"day":"01","external_id":{"arxiv":["1708.05362"]},"OA_type":"green","title":"Low regularity conservation laws for integrable PDE","page":"1062-1090","date_published":"2018-07-01T00:00:00Z","publication_identifier":{"issn":["1016-443X"],"eissn":["1420-8970"]},"extern":"1","das_tickbox":"1","language":[{"iso":"eng"}],"abstract":[{"text":"We present a general method for obtaining conservation laws for integrable PDE at negative regularity and exhibit its application to KdV, NLS, and mKdV. Our method works uniformly for these problems posed both on the line and on the circle.","lang":"eng"}]}]