{"type":"journal_article","scopus_import":"1","publication":"Mathematical Research Letters","das_tickbox":"1","date_published":"2016-06-06T00:00:00Z","title":"Scale-invariant Strichartz estimates on tori and applications","OA_place":"repository","OA_type":"green","volume":23,"language":[{"iso":"eng"}],"citation":{"short":"R. Killip, M. Vişan, Mathematical Research Letters 23 (2016) 445–472.","mla":"Killip, Rowan, and Monica Vişan. “Scale-Invariant Strichartz Estimates on Tori and Applications.” Mathematical Research Letters, vol. 23, no. 2, International Press, 2016, pp. 445–72, doi:10.4310/mrl.2016.v23.n2.a8.","ieee":"R. Killip and M. Vişan, “Scale-invariant Strichartz estimates on tori and applications,” Mathematical Research Letters, vol. 23, no. 2. International Press, pp. 445–472, 2016.","apa":"Killip, R., & Vişan, M. (2016). Scale-invariant Strichartz estimates on tori and applications. Mathematical Research Letters. International Press. https://doi.org/10.4310/mrl.2016.v23.n2.a8","chicago":"Killip, Rowan, and Monica Vişan. “Scale-Invariant Strichartz Estimates on Tori and Applications.” Mathematical Research Letters. International Press, 2016. https://doi.org/10.4310/mrl.2016.v23.n2.a8.","ama":"Killip R, Vişan M. Scale-invariant Strichartz estimates on tori and applications. Mathematical Research Letters. 2016;23(2):445-472. doi:10.4310/mrl.2016.v23.n2.a8","ista":"Killip R, Vişan M. 2016. Scale-invariant Strichartz estimates on tori and applications. Mathematical Research Letters. 23(2), 445–472."},"doi":"10.4310/mrl.2016.v23.n2.a8","date_updated":"2026-06-30T10:59:10Z","abstract":[{"lang":"eng","text":"We prove scale-invariant Strichartz inequalities for the Schrödinger equation on rectangular tori (rational or irrational) in all dimensions. We use these estimates to give a simpler treatment of local well-posedness of the energy-critical nonlinear Schrödinger equation in dimensions three and four."}],"publication_identifier":{"eissn":["1945-001X"],"issn":["1073-2780"]},"date_created":"2026-06-19T08:22:27Z","oa":1,"_id":"22073","publisher":"International Press","day":"06","article_processing_charge":"No","status":"public","article_type":"original","year":"2016","quality_controlled":"1","issue":"2","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","extern":"1","month":"06","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1409.3603 ","open_access":"1"}],"external_id":{"arxiv":["1409.3603"]},"arxiv":1,"author":[{"last_name":"Killip","full_name":"Killip, Rowan","first_name":"Rowan"},{"first_name":"Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","full_name":"Visan, Monica","last_name":"Visan"}],"intvolume":" 23","page":"445-472","publication_status":"published","oa_version":"Preprint"}