[{"article_processing_charge":"No","page":"969-986","external_id":{"arxiv":["1112.1354"]},"arxiv":1,"title":"Global well-posedness of the Gross–Pitaevskii and cubic-quintic nonlinear Schrödinger equations with non-vanishing boundary conditions","volume":19,"mathsc":["35Q55"],"publication":"Mathematical Research Letters","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."}],"oa":1,"oa_version":"Preprint","OA_place":"repository","language":[{"iso":"eng"}],"quality_controlled":"1","issue":"5","type":"journal_article","month":"03","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"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.","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>","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>.","short":"R. Killip, T. Oh, O. Pocovnicu, M. Vişan, Mathematical Research Letters 19 (2013) 969–986.","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>.","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>"},"scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1112.1354"}],"publication_identifier":{"issn":["1073-2780"],"eissn":["1945-001X"]},"_id":"22053","das_tickbox":"1","doi":"10.4310/mrl.2012.v19.n5.a1","date_created":"2026-06-19T07:54:49Z","keyword":["NLS","Gross–Pitaevskii equation","non-vanishing boundary condition"],"intvolume":"        19","extern":"1","author":[{"first_name":"Rowan","last_name":"Killip","full_name":"Killip, Rowan"},{"full_name":"Oh, Tadahiro","first_name":"Tadahiro","last_name":"Oh"},{"last_name":"Pocovnicu","first_name":"Oana","full_name":"Pocovnicu, Oana"},{"first_name":"Monica","last_name":"Visan","full_name":"Visan, Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca"}],"OA_type":"green","date_published":"2013-03-15T00:00:00Z","year":"2013","day":"15","date_updated":"2026-06-25T08:33:18Z","article_type":"original","publisher":"International Press of Boston","publication_status":"published","status":"public"}]