Publications

[15] S. Marcantoni, M. Porta & J. S. Dynamics of mean-field Fermi systems with nonzero pairing. Preprint.

[14] J. Lampart, L. Le Treust, S. Rota Nodari & J.S. The Dirac-Klein-Gordon system in the strong coupling limit. Annales Henri Lebesgue (2023), no 6,  pp. 541-573. Article. Preprint. 

[13] R. L. Frank & J.S. Sharp Weyl laws with singular potentials. Pure and Applied Analysis 5-1 (2023), 85--144. Article. Preprint.

[12] M. Lewin & J.S. The Hartree and Vlasov equations at positive density. Comm. Partial Differential Equations. (2020), no 45, 1702--1754. Article. Preprint.

[11] R. L. Frank & J.S. Extremizers for the Airy-Strichartz inequality. Math. Ann. (2018), no 372, 1121--1166 Preprint. Article.

[10] R. L. Frank & J.S. Spectral cluster bounds for orthonormal systems and oscillatory integral operators in Schatten spaces. Advances in Mathematics (2017), no 317, 157--192.Preprint. Article.

[9] R. L. Frank, E. H. Lieb & J.S. Maximizers for the Stein-Tomas inequality. J. Geom. Funct. Anal. (2016), no 26, 1095--1134. Preprint. Article.

[8] J.S. Littlewood-Paley decomposition of operator densities and application to a new proof of the Lieb-Thirring inequality. Math. Phys. Anal. Geom. (2016), no 2, 1--11.  Preprint. Article.

[7] R. L. Frank & J.S. Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates.  Amer. J. Math. (2017), 139, no 6, 1649--1691. Preprint. Article.

[6] J.S. Global well-posedness for a nonlinear wave equation coupled to the Dirac sea. Appl. Math. Res. Express (2014), no 2, 312–331. Preprint. Article.

[5] M. Lewin & J.S. The Hartree equation for infinitely many particles. II. Dispersion and scattering in 2D. Analysis & PDE, 7 (2014), no 6, 1339–1363. Preprint. Article.

[4] M. Lewin & J.S. The Hartree equation for infinitely many particles. I. Well-posedness theory. Comm. Math. Phys., 334 (2015), no 1, 117–170. Preprint. Article.

[3] M. Lewin & J.S. A family of monotone quantum relative entropies. Lett. Math. Phys. 104 (2014), no 6, 691–705. Preprint. Article.

[2] J.S. Charge renormalization and static electron-positron pair creation for a nonlinear Dirac model with weak interactions. SIAM J. Math. Anal. 45 (2013), no. 4, 2099–2147.  Preprint. Article.

[1] J.S. Static electron-positron pair creation in strong fields for a nonlinear Dirac model. Ann. Henri Poincaré 14 (2013), no. 5, 1349–1382. Preprint. Article.

Proceedings

[a] J.S. The Hartree equation for infinite quantum systems. Journées équations aux dérivées partielles (2014), Exp. No. 8. Article.

[b] R.L. Frank & J.S. The Stein-Tomas inequality in trace ideals. Séminaire Laurent Schwartz (2016), Exp. No. 15. Article.

Reviews

[a] J.S.  Compactness methods in Lieb's work. Article.

PhD Thesis

Stabilité, dispersion, et création de paires pour certains systèmes quantiques infinis. Manuscript. 

Habilitation thesis

Analyse de quelques inégalités fonctionnelles et équations aux dérivées partielles liées à de grands systèmes quantiques. Manuscript.