{"quality_controlled":"1","abstract":[{"text":"We consider the mass-subcritical nonlinear Schr¨odinger equation in all space dimensions with focusing or defocusing nonlinearity. For such equations with critical regularity sc ∈ (max{−1, −d/2 }, 0), we prove that any solution satisfying {mathematical formular} on its maximal interval of existence must be global and scatter.","lang":"eng"}],"author":[{"first_name":"Rowan","last_name":"Killip","full_name":"Killip, Rowan"},{"full_name":"Masaki, Satoshi","first_name":"Satoshi","last_name":"Masaki"},{"full_name":"Murphy, Jason","first_name":"Jason","last_name":"Murphy"},{"last_name":"Visan","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","first_name":"Monica","full_name":"Visan, Monica"}],"title":"Large data mass-subcritical NLS: Critical weighted bounds imply scattering","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1606.01512"}],"type":"journal_article","publication_identifier":{"eissn":["1420-9004"],"issn":["1021-9722"]},"arxiv":1,"date_published":"2017-06-15T00:00:00Z","_id":"22025","intvolume":"        24","article_number":"38","OA_place":"repository","issue":"4","date_created":"2026-06-19T07:32:33Z","scopus_import":"1","language":[{"iso":"eng"}],"extern":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Springer Nature","article_type":"original","volume":24,"article_processing_charge":"No","day":"15","oa":1,"OA_type":"green","oa_version":"Preprint","status":"public","publication_status":"published","doi":"10.1007/s00030-017-0463-9","date_updated":"2026-06-22T10:26:09Z","publication":"Nonlinear Differential Equations and Applications NoDEA","month":"06","das_tickbox":"1","citation":{"ieee":"R. Killip, S. Masaki, J. Murphy, and M. Vişan, “Large data mass-subcritical NLS: Critical weighted bounds imply scattering,” <i>Nonlinear Differential Equations and Applications NoDEA</i>, vol. 24, no. 4. Springer Nature, 2017.","apa":"Killip, R., Masaki, S., Murphy, J., &#38; Vişan, M. (2017). Large data mass-subcritical NLS: Critical weighted bounds imply scattering. <i>Nonlinear Differential Equations and Applications NoDEA</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00030-017-0463-9\">https://doi.org/10.1007/s00030-017-0463-9</a>","ama":"Killip R, Masaki S, Murphy J, Vişan M. Large data mass-subcritical NLS: Critical weighted bounds imply scattering. <i>Nonlinear Differential Equations and Applications NoDEA</i>. 2017;24(4). doi:<a href=\"https://doi.org/10.1007/s00030-017-0463-9\">10.1007/s00030-017-0463-9</a>","chicago":"Killip, Rowan, Satoshi Masaki, Jason Murphy, and Monica Vişan. “Large Data Mass-Subcritical NLS: Critical Weighted Bounds Imply Scattering.” <i>Nonlinear Differential Equations and Applications NoDEA</i>. Springer Nature, 2017. <a href=\"https://doi.org/10.1007/s00030-017-0463-9\">https://doi.org/10.1007/s00030-017-0463-9</a>.","short":"R. Killip, S. Masaki, J. Murphy, M. Vişan, Nonlinear Differential Equations and Applications NoDEA 24 (2017).","ista":"Killip R, Masaki S, Murphy J, Vişan M. 2017. Large data mass-subcritical NLS: Critical weighted bounds imply scattering. Nonlinear Differential Equations and Applications NoDEA. 24(4), 38.","mla":"Killip, Rowan, et al. “Large Data Mass-Subcritical NLS: Critical Weighted Bounds Imply Scattering.” <i>Nonlinear Differential Equations and Applications NoDEA</i>, vol. 24, no. 4, 38, Springer Nature, 2017, doi:<a href=\"https://doi.org/10.1007/s00030-017-0463-9\">10.1007/s00030-017-0463-9</a>."},"year":"2017","external_id":{"arxiv":["1606.01512"]}}