{"status":"public","title":"Strichartz inequality for orthonormal functions","type":"journal_article","month":"08","oa_version":"Submitted Version","date_created":"2018-12-11T11:54:38Z","date_published":"2014-08-23T00:00:00Z","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","scopus_import":1,"abstract":[{"text":"We prove a Strichartz inequality for a system of orthonormal functions, with an optimal behavior of the constant in the limit of a large number of functions. The estimate generalizes the usual Strichartz inequality, in the same fashion as the Lieb-Thirring inequality generalizes the Sobolev inequality. As an application, we consider the Schrödinger equation with a time-dependent potential and we show the existence of the wave operator in Schatten spaces.","lang":"eng"}],"project":[{"name":"NSERC Postdoctoral fellowship","_id":"26450934-B435-11E9-9278-68D0E5697425"}],"author":[{"full_name":"Frank, Rupert","last_name":"Frank","first_name":"Rupert"},{"first_name":"Mathieu","last_name":"Lewin","full_name":"Lewin, Mathieu"},{"last_name":"Lieb","full_name":"Lieb, Élliott","first_name":"Élliott"},{"full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"citation":{"ista":"Frank R, Lewin M, Lieb É, Seiringer R. 2014. Strichartz inequality for orthonormal functions. Journal of the European Mathematical Society. 16(7), 1507–1526.","ama":"Frank R, Lewin M, Lieb É, Seiringer R. Strichartz inequality for orthonormal functions. <i>Journal of the European Mathematical Society</i>. 2014;16(7):1507-1526. doi:<a href=\"https://doi.org/10.4171/JEMS/467\">10.4171/JEMS/467</a>","short":"R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical Society 16 (2014) 1507–1526.","chicago":"Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Strichartz Inequality for Orthonormal Functions.” <i>Journal of the European Mathematical Society</i>. European Mathematical Society, 2014. <a href=\"https://doi.org/10.4171/JEMS/467\">https://doi.org/10.4171/JEMS/467</a>.","apa":"Frank, R., Lewin, M., Lieb, É., &#38; Seiringer, R. (2014). Strichartz inequality for orthonormal functions. <i>Journal of the European Mathematical Society</i>. European Mathematical Society. <a href=\"https://doi.org/10.4171/JEMS/467\">https://doi.org/10.4171/JEMS/467</a>","mla":"Frank, Rupert, et al. “Strichartz Inequality for Orthonormal Functions.” <i>Journal of the European Mathematical Society</i>, vol. 16, no. 7, European Mathematical Society, 2014, pp. 1507–26, doi:<a href=\"https://doi.org/10.4171/JEMS/467\">10.4171/JEMS/467</a>.","ieee":"R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “Strichartz inequality for orthonormal functions,” <i>Journal of the European Mathematical Society</i>, vol. 16, no. 7. European Mathematical Society, pp. 1507–1526, 2014."},"intvolume":"        16","department":[{"_id":"RoSe"}],"publication_status":"published","year":"2014","publisher":"European Mathematical Society","volume":16,"day":"23","language":[{"iso":"eng"}],"oa":1,"date_updated":"2021-01-12T06:53:58Z","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1306.1309"}],"publication":"Journal of the European Mathematical Society","_id":"1904","issue":"7","doi":"10.4171/JEMS/467","publist_id":"5191","page":"1507 - 1526"}