[{"quality_controlled":"1","language":[{"iso":"eng"}],"date_updated":"2026-06-29T06:32:07Z","_id":"22029","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.0812.2084"}],"date_published":"2010-06-01T00:00:00Z","month":"06","year":"2010","arxiv":1,"page":"945-987","status":"public","volume":35,"title":"Energy-supercritical NLS: Critical [Hdot]^s-bounds imply scattering","oa_version":"Preprint","publication_identifier":{"eissn":["1532-4133"],"issn":["0360-5302"]},"abstract":[{"text":"We consider two classes of defocusing energy-supercritical nonlinear Schrödinger equations in dimensions d ≥ 5. We prove that if the solution u is a priori bounded in the critical Sobolev space, that is, {mathematical formular} , then u is global and scatters.","lang":"eng"}],"publication":"Communications in Partial Differential Equations","publication_status":"published","extern":"1","doi":"10.1080/03605301003717084","date_created":"2026-06-19T07:41:22Z","publisher":"Informa UK Limited","article_type":"original","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ieee":"R. Killip and M. Vişan, “Energy-supercritical NLS: Critical [Hdot]^s-bounds imply scattering,” <i>Communications in Partial Differential Equations</i>, vol. 35, no. 6. Informa UK Limited, pp. 945–987, 2010.","mla":"Killip, Rowan, and Monica Vişan. “Energy-Supercritical NLS: Critical [Hdot]^s-Bounds Imply Scattering.” <i>Communications in Partial Differential Equations</i>, vol. 35, no. 6, Informa UK Limited, 2010, pp. 945–87, doi:<a href=\"https://doi.org/10.1080/03605301003717084\">10.1080/03605301003717084</a>.","ista":"Killip R, Vişan M. 2010. Energy-supercritical NLS: Critical [Hdot]^s-bounds imply scattering. Communications in Partial Differential Equations. 35(6), 945–987.","apa":"Killip, R., &#38; Vişan, M. (2010). Energy-supercritical NLS: Critical [Hdot]^s-bounds imply scattering. <i>Communications in Partial Differential Equations</i>. Informa UK Limited. <a href=\"https://doi.org/10.1080/03605301003717084\">https://doi.org/10.1080/03605301003717084</a>","chicago":"Killip, Rowan, and Monica Vişan. “Energy-Supercritical NLS: Critical [Hdot]^s-Bounds Imply Scattering.” <i>Communications in Partial Differential Equations</i>. Informa UK Limited, 2010. <a href=\"https://doi.org/10.1080/03605301003717084\">https://doi.org/10.1080/03605301003717084</a>.","short":"R. Killip, M. Vişan, Communications in Partial Differential Equations 35 (2010) 945–987.","ama":"Killip R, Vişan M. Energy-supercritical NLS: Critical [Hdot]^s-bounds imply scattering. <i>Communications in Partial Differential Equations</i>. 2010;35(6):945-987. doi:<a href=\"https://doi.org/10.1080/03605301003717084\">10.1080/03605301003717084</a>"},"type":"journal_article","article_processing_charge":"No","oa":1,"intvolume":"        35","day":"01","keyword":["critical regularity","Nonlinear Schrödinger equations"],"OA_place":"repository","OA_type":"green","author":[{"first_name":"Rowan","full_name":"Killip, Rowan","last_name":"Killip"},{"full_name":"Visan, Monica","last_name":"Visan","first_name":"Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca"}],"scopus_import":"1","external_id":{"arxiv":["0812.2084"]},"issue":"6"}]