[{"arxiv":1,"article_processing_charge":"No","extern":"1","type":"journal_article","mathsc":["35Q55"],"oa_version":"Preprint","scopus_import":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","page":"969-986","status":"public","doi":"10.4310/mrl.2012.v19.n5.a1","publication_identifier":{"issn":["1073-2780"],"eissn":["1945-001X"]},"quality_controlled":"1","day":"15","OA_type":"green","date_updated":"2026-06-25T08:33:18Z","_id":"22053","title":"Global well-posedness of the Gross–Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions","OA_place":"repository","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1112.1354","open_access":"1"}],"publisher":"International Press of Boston","publication":"Mathematical Research Letters","citation":{"ieee":"R. Killip, T. Oh, O. Pocovnicu, and M. Vişan, “Global well-posedness of the Gross–Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions,” <i>Mathematical Research Letters</i>, vol. 19, no. 5. International Press of Boston, pp. 969–986, 2013.","mla":"Killip, Rowan, et al. “Global Well-Posedness of the Gross–Pitaevskii and Cubic-Quintic Nonlinear Schrödinger Equations with Non-Vanishing Boundary Conditions.” <i>Mathematical Research Letters</i>, vol. 19, no. 5, International Press of Boston, 2013, pp. 969–86, doi:<a href=\"https://doi.org/10.4310/mrl.2012.v19.n5.a1\">10.4310/mrl.2012.v19.n5.a1</a>.","apa":"Killip, R., Oh, T., Pocovnicu, O., &#38; Vişan, M. (2013). Global well-posedness of the Gross–Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions. <i>Mathematical Research Letters</i>. International Press of Boston. <a href=\"https://doi.org/10.4310/mrl.2012.v19.n5.a1\">https://doi.org/10.4310/mrl.2012.v19.n5.a1</a>","ama":"Killip R, Oh T, Pocovnicu O, Vişan M. Global well-posedness of the Gross–Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions. <i>Mathematical Research Letters</i>. 2013;19(5):969-986. doi:<a href=\"https://doi.org/10.4310/mrl.2012.v19.n5.a1\">10.4310/mrl.2012.v19.n5.a1</a>","chicago":"Killip, Rowan, Tadahiro Oh, Oana Pocovnicu, and Monica Vişan. “Global Well-Posedness of the Gross–Pitaevskii and Cubic-Quintic Nonlinear Schrödinger Equations with Non-Vanishing Boundary Conditions.” <i>Mathematical Research Letters</i>. International Press of Boston, 2013. <a href=\"https://doi.org/10.4310/mrl.2012.v19.n5.a1\">https://doi.org/10.4310/mrl.2012.v19.n5.a1</a>.","ista":"Killip R, Oh T, Pocovnicu O, Vişan M. 2013. Global well-posedness of the Gross–Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions. Mathematical Research Letters. 19(5), 969–986.","short":"R. Killip, T. Oh, O. Pocovnicu, M. Vişan, Mathematical Research Letters 19 (2013) 969–986."},"keyword":["NLS","Gross–Pitaevskii equation","non-vanishing boundary condition"],"publication_status":"published","external_id":{"arxiv":["1112.1354"]},"das_tickbox":"1","author":[{"first_name":"Rowan","last_name":"Killip","full_name":"Killip, Rowan"},{"last_name":"Oh","first_name":"Tadahiro","full_name":"Oh, Tadahiro"},{"last_name":"Pocovnicu","first_name":"Oana","full_name":"Pocovnicu, Oana"},{"id":"056daca0-b8d1-11f0-964f-f91054abf8ca","full_name":"Visan, Monica","last_name":"Visan","first_name":"Monica"}],"month":"03","abstract":[{"lang":"eng","text":"We consider the Gross–Pitaevskii equation on R^4 and the cubic-quintic nonlinear Schrödinger equation (NLS) on R^3 with non-vanishing boundary conditions at spatial infinity. By viewing these equations as perturbations to the energy-critical NLS, we prove that they are globally well-posed in their energy spaces. In particular, we prove unconditional uniqueness in the energy spaces for these equations."}],"volume":19,"date_created":"2026-06-19T07:54:49Z","date_published":"2013-03-15T00:00:00Z","year":"2013","article_type":"original","intvolume":"        19","language":[{"iso":"eng"}],"issue":"5","oa":1}]