article published yes Rupert Frank author Mathieu Lewin author Élliott Lieb author Robert Seiringer author 4AFD0470-F248-11E8-B48F-1D18A9856A870000-0002-6781-0521 RoSe department NSERC Postdoctoral fellowship project 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. EMS Press2014 eng 1306.1309 00034549490000610.4171/JEMS/467 1671507 - 1526 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> Frank, Rupert, et al. “Strichartz Inequality for Orthonormal Functions.” <i>Journal of the European Mathematical Society</i>, vol. 16, no. 7, EMS Press, 2014, pp. 1507–26, doi:<a href="https://doi.org/10.4171/JEMS/467">10.4171/JEMS/467</a>. 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. EMS Press, pp. 1507–1526, 2014. Frank, R., Lewin, M., Lieb, É., &#38; Seiringer, R. (2014). Strichartz inequality for orthonormal functions. <i>Journal of the European Mathematical Society</i>. EMS Press. <a href="https://doi.org/10.4171/JEMS/467">https://doi.org/10.4171/JEMS/467</a> R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical Society 16 (2014) 1507–1526. Frank R, Lewin M, Lieb É, Seiringer R. 2014. Strichartz inequality for orthonormal functions. Journal of the European Mathematical Society. 16(7), 1507–1526. Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Strichartz Inequality for Orthonormal Functions.” <i>Journal of the European Mathematical Society</i>. EMS Press, 2014. <a href="https://doi.org/10.4171/JEMS/467">https://doi.org/10.4171/JEMS/467</a>. 19042018-12-11T11:54:38Z2026-07-06T11:56:08Z