[{"oa":1,"OA_type":"green","oa_version":"Preprint","volume":37,"article_processing_charge":"No","day":"01","date_updated":"2026-06-22T12:47:32Z","publication_status":"published","status":"public","doi":"10.3934/dcds.2017162","month":"07","publication":"Discrete and Continuous Dynamical Systems","year":"2017","citation":{"apa":"Killip, R., Miao, C., Vişan, M., Zhang, J., &#38; Zheng, J. (2017). The energy-critical NLS with inverse-square potential. <i>Discrete and Continuous Dynamical Systems</i>. American Institute of Mathematical Sciences. <a href=\"https://doi.org/10.3934/dcds.2017162\">https://doi.org/10.3934/dcds.2017162</a>","ama":"Killip R, Miao C, Vişan M, Zhang J, Zheng J. The energy-critical NLS with inverse-square potential. <i>Discrete and Continuous Dynamical Systems</i>. 2017;37(7):3831-3866. doi:<a href=\"https://doi.org/10.3934/dcds.2017162\">10.3934/dcds.2017162</a>","chicago":"Killip, Rowan, Changxing Miao, Monica Vişan, Junyong Zhang, and Jiqiang Zheng. “The Energy-Critical NLS with Inverse-Square Potential.” <i>Discrete and Continuous Dynamical Systems</i>. American Institute of Mathematical Sciences, 2017. <a href=\"https://doi.org/10.3934/dcds.2017162\">https://doi.org/10.3934/dcds.2017162</a>.","mla":"Killip, Rowan, et al. “The Energy-Critical NLS with Inverse-Square Potential.” <i>Discrete and Continuous Dynamical Systems</i>, vol. 37, no. 7, American Institute of Mathematical Sciences, 2017, pp. 3831–66, doi:<a href=\"https://doi.org/10.3934/dcds.2017162\">10.3934/dcds.2017162</a>.","ista":"Killip R, Miao C, Vişan M, Zhang J, Zheng J. 2017. The energy-critical NLS with inverse-square potential. Discrete and Continuous Dynamical Systems. 37(7), 3831–3866.","short":"R. Killip, C. Miao, M. Vişan, J. Zhang, J. Zheng, Discrete and Continuous Dynamical Systems 37 (2017) 3831–3866.","ieee":"R. Killip, C. Miao, M. Vişan, J. Zhang, and J. Zheng, “The energy-critical NLS with inverse-square potential,” <i>Discrete and Continuous Dynamical Systems</i>, vol. 37, no. 7. American Institute of Mathematical Sciences, pp. 3831–3866, 2017."},"external_id":{"arxiv":["1509.05822"]},"das_tickbox":"1","author":[{"first_name":"Rowan","last_name":"Killip","full_name":"Killip, Rowan"},{"last_name":"Miao","first_name":"Changxing","full_name":"Miao, Changxing"},{"last_name":"Visan","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","first_name":"Monica","full_name":"Visan, Monica"},{"last_name":"Zhang","first_name":"Junyong","full_name":"Zhang, Junyong"},{"first_name":"Jiqiang","last_name":"Zheng","full_name":"Zheng, Jiqiang"}],"quality_controlled":"1","abstract":[{"text":"We consider the defocusing energy-critical nonlinear Schrödinger\r\nequation with inverse-square potential iut = −∆u + a|x|^−2u + |u|^4u in three\r\nspace dimensions. We prove global well-posedness and scattering for a >− 1/4 + 1/25. We also carry out the variational analysis needed to treat the focusing case.","lang":"eng"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1509.05822","open_access":"1"}],"type":"journal_article","publication_identifier":{"eissn":["1553-5231"],"issn":["1078-0947"]},"arxiv":1,"title":"The energy-critical NLS with inverse-square potential","date_created":"2026-06-19T07:42:59Z","issue":"7","OA_place":"repository","scopus_import":"1","language":[{"iso":"eng"}],"date_published":"2017-07-01T00:00:00Z","intvolume":"        37","_id":"22033","page":"3831-3866","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","extern":"1","publisher":"American Institute of Mathematical Sciences","article_type":"original"}]