Julien Sabin

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All published works

Action	Title	Year	Authors
+ PDF Chat	The Dirac–Klein–Gordon system in the strong coupling limit	2023	Jonas Lampart Loïc Le Treust Simona Rota Nodari Julien Sabin
+ PDF Chat	Sharp Weyl laws with singular potentials	2023	Rupert L. Frank Julien Sabin
+	Dynamics of mean-field Fermi systems with nonzero pairing	2023	Stefano Marcantoni Marcello Porta Julien Sabin
+ PDF Chat	Analyse de quelques inégalités fonctionnelles et équations aux dérivées partielles liées à de grands systèmes quantiques	2022	Julien Sabin
+	Compactness methods in Lieb’s work	2022	Julien Sabin
+ PDF Chat	Compactness methods in Lieb's work	2022	Julien Sabin
+	Compactness methods in Lieb's work	2022	Julien Sabin
+ PDF Chat	The Hartree and Vlasov equations at positive density	2020	Mathieu Lewin Julien Sabin
+	Sharp Weyl laws with singular potentials	2020	Rupert L. Frank Julien Sabin
+	The Hartree and Vlasov equations at positive density.	2019	Mathieu Lewin Julien Sabin
+	Long time stability of constant density states for the Hartree model	2019	Julien Sabin
+	The Hartree and Vlasov equations at positive density	2019	Mathieu Lewin Julien Sabin
+ PDF Chat	Extremizers for the Airy–Strichartz inequality	2018	Rupert L. Frank Julien Sabin
+ PDF Chat	Extremizers for the Airy-Strichartz inequality	2018	Rupert L. Frank Julien Sabin Rupert L. Frank
+ PDF Chat	Spectral cluster bounds for orthonormal systems and oscillatory integral operators in Schatten spaces	2017	Rupert L. Frank Julien Sabin
+ PDF Chat	Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates	2017	Rupert L. Frank Julien Sabin
+ PDF Chat	The Stein-Tomas inequality in trace ideals	2016	Rupert L. Frank Julien Sabin
+ PDF Chat	The Stein-Tomas inequality in trace ideals	2016	Rupert L. Frank Julien Sabin
+	Spectral cluster bounds for orthonormal systems and oscillatory integral operators in Schatten spaces	2016	Rupert L. Frank Julien Sabin
+ PDF Chat	Maximizers for the Stein–Tomas Inequality	2016	Rupert L. Frank Élliott H. Lieb Julien Sabin
+ PDF Chat	Littlewood-Paley Decomposition of Operator Densities and Application to a New Proof of the Lieb-Thirring Inequality	2016	Julien Sabin
+	Maximizers for the Stein-Tomas inequality	2016	Rupert L. Frank Élliott H. Lieb Julien Sabin
+	Maximizers for the Stein-Tomas inequality	2016	Rupert L. Frank Élliott H. Lieb Julien Sabin
+	The Stein-Tomas inequality in trace ideals	2016	Rupert L. Frank Julien Sabin
+	Spectral cluster bounds for orthonormal systems and oscillatory integral operators in Schatten spaces	2016	Rupert L. Frank Julien Sabin
+ PDF Chat	The Hartree equation for infinite quantum systems	2014	Julien Sabin
+ PDF Chat	The Hartree equation for infinitely many particles, II: Dispersion and scattering in 2D	2014	Mathieu Lewin Julien Sabin
+ PDF Chat	The Hartree Equation for Infinitely Many Particles I. Well-Posedness Theory	2014	Mathieu Lewin Julien Sabin
+ PDF Chat	Global Well-Posedness for a Nonlinear Wave Equation Coupled to the Dirac Sea	2014	Julien Sabin
+ PDF Chat	A Family of Monotone Quantum Relative Entropies	2014	Mathieu Lewin Julien Sabin
+	Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates	2014	Rupert L. Frank Julien Sabin
+	Stabilité, dispersion, et création de paires pour certains systèmes quantiques infinis	2013	Julien Sabin
+ PDF Chat	Charge Renormalization and Static Electron/Positron Pair Production for a Nonlinear Dirac Model with Weak Interactions	2013	Julien Sabin
+	Stabilit e, dispersion et cr eation de paires pour certains syst	2013	Julien Sabin
+ PDF Chat	Static Electron–Positron Pair Creation in Strong Fields for a Non-linear Dirac Model	2012	Julien Sabin
+	Charge renormalization and static electron/positron pair production for a nonlinear Dirac model with weak interactions	2012	Julien Sabin
+ PDF Chat	Static Electron-Positron Pair Creation in Strong Fields for a Nonlinear Dirac model	2011	Julien Sabin
+	Static Electron-Positron Pair Creation in Strong Fields for a Nonlinear Dirac model	2011	Julien Sabin

Common Coauthors

Coauthor	Papers Together
Rupert L. Frank	14
Mathieu Lewin	6
Élliott H. Lieb	3
Marcello Porta	1
Jonas Lampart	1
Loïc Le Treust	1
Rupert L. Frank	1
Simona Rota Nodari	1
Stefano Marcantoni	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Strichartz inequality for orthonormal functions	2014	Rupert L. Frank Mathieu Lewin Élliott H. Lieb Robert Seiringer	10
+ PDF Chat	Endpoint Strichartz estimates	1998	M. Keel Terence Tao	9
+	Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations	1977	Robert S. Strichartz	9
+ PDF Chat	A restriction theorem for the Fourier transform	1975	Peter A. Tomas	8
+ PDF Chat	The mean‐field approximation in quantum electrodynamics: The no‐photon case	2006	Christian Hainzl Mathieu Lewin Jan Philip Solovej	7
+ PDF Chat	Ground State and Charge Renormalization in a Nonlinear Model of Relativistic Atoms	2008	Philippe Gravejat Mathieu Lewin Éric Séré	6
+	Trace Ideals and Their Applications	2010	Barry Simon	6
+ PDF Chat	A positive density analogue of the Lieb–Thirring inequality	2013	Rupert L. Frank Mathieu Lewin Élliott H. Lieb Robert Seiringer	6
+	Existence of solutions for Schr�dinger evolution equations	1987	Kenji Yajima	6
+ PDF Chat	A Microscopic Derivation of the Time-Dependent Hartree-Fock Equation with Coulomb Two-Body Interaction	2011	Jürg Fröhlich Antti Knowles	6
+ PDF Chat	A Family of Monotone Quantum Relative Entropies	2014	Mathieu Lewin Julien Sabin	6
+ PDF Chat	A sharp bilinear restriction estimate for paraboloids	2003	Terence Tao	6
+	Mean field dynamics of fermions and the time-dependent Hartree–Fock equation	2003	Claude Bardos François Golse Alex D. Gottlieb Norbert J. Mauser	6
+	Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities	2006	Élliott H. Lieb Walter Thirring	6
+ PDF Chat	Nonlinear Hartree equation as the mean field limit of weakly coupled fermions	2004	Alexander Elgart László Erdős Benjamin Schlein Horng‐Tzer Yau	6
+ PDF Chat	Existence of a Stable Polarized Vacuum in the Bogoliubov-Dirac-Fock Approximation	2005	Christian Hainzl Mathieu Lewin Éric Séré	6
+ PDF Chat	The classical limit for quantum mechanical correlation functions	1974	K. Hepp	5
+	Semilinear Schrödinger Equations	2003	Thierry Cazenave	5
+ PDF Chat	Generalized Hartree-Fock theory and the Hubbard model	1994	Volker Bach Élliott H. Lieb Jan Philip Solovej	5
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	5
+ PDF Chat	An existence proof for the Hartree-Fock time-dependent problem with bounded two-body interaction	1974	Antonio Bove Giuseppe Da Prato G. Fano	5
+ PDF Chat	Existence of Global-In-Time Solutions to a Generalized Dirac-Fock Type Evolution Equation	2005	Christian Hainzl Mathieu Lewinand Christof Sparber	5
+ PDF Chat	The time-dependent Hartree-Fock equations with Coulomb two-body interaction	1976	John Chadam	5
+	On Gauge Invariance and Vacuum Polarization	1951	Julian Schwinger	5
+	On the Existence of a Maximizer for the Strichartz Inequality	2003	Markus Kunze	4
+ PDF Chat	Strongly subadditive functions	2010	Katrien Audenaert Fumio Hiai D. Petz	4
+	Existence of Spontaneous Pair Creation	2005	Peter Pickl	4
+ PDF Chat	Existence of Atoms and Molecules in the Mean-Field Approximation of No-Photon Quantum Electrodynamics	2008	Christian Hainzl Mathieu Lewin Éric Séré	4
+	Classical Fourier Analysis	2014	Loukas Grafakos	4
+ PDF Chat	On the Hartree-Fock time-dependent problem	1976	Antonio Bove Giuseppe Da Prato G. Fano	4
+ PDF Chat	Multiple Colliding Electromagnetic Pulses: A Way to Lower the Threshold of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math>Pair Production from Vacuum	2010	S. S. Bulanov V. D. Mur N. B. Narozhny J. Nees V. S. Popov	4
+	On the Stability of the Relativistic Electron-Positron Field	1999	Volker Bach Jean-Marie Barbaroux Bernard Helffer Heinz Siedentop	4
+ PDF Chat	Construction of the Pauli–Villars-Regulated Dirac Vacuum in Electromagnetic Fields	2013	Philippe Gravejat Christian Hainzl Mathieu Lewin Éric Séré	4
+	Global maximizers for the sphere adjoint Fourier restriction inequality	2014	Damiano Foschi	4
+ PDF Chat	Existence of extremals for a Fourier restriction inequality	2012	Francis Michael Christ Shuanglin Shao	4
+	On existence of extremizers for the Tomas–Stein inequality for S1	2016	Shuanglin Shao	4
+ PDF Chat	A Compactness Lemma and Its Application to the Existence of Minimizers for the Liquid Drop Model	2015	Rupert L. Frank Élliott H. Lieb	4
+ PDF Chat	Geometric methods in multiparticle quantum systems	1977	Barry Simon	4
+ PDF Chat	Sharp constants in several inequalities on the Heisenberg group	2012	NULL AUTHOR_ID NULL AUTHOR_ID	4
+ PDF Chat	On Adiabatic Pair Creation	2008	Peter Pickl Detlef Dürr	4
+	Positive solutions of nonlinear elliptic equations involving critical sobolev exponents	1983	Haı̈m Brezis Louis Nirenberg	4
+ PDF Chat	The Hartree Equation for Infinitely Many Particles I. Well-Posedness Theory	2014	Mathieu Lewin Julien Sabin	4
+	On the role of quadratic oscillations in nonlinear Schrödinger equations	2003	Rémi Carles Clotilde Fermanian Kammerer Isabelle Gallagher	4
+	On sharp Strichartz inequalities in low dimensions	2006	Dirk Hundertmark Vadim Zharnitsky	4
+ PDF Chat	Maximizers for the Strichartz Inequality	2007	Damiano Foschi	4
+ PDF Chat	Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation	2007	Pascal Bégout Ana Vargas	4
+ PDF Chat	A mathematical formulation of the random phase approximation for crystals	2012	Éric Cancès Gabriel Stoltz	4
+	Nonlinear Dispersive Equations	2006	Terence Tao	3
+ PDF Chat	On the role of quadratic oscillations in nonlinear Schrödinger equations II. The $L^2$-critical case	2006	Rémi Carles Sahbi Keraani	3
+ PDF Chat	A NONLINEAR MODEL FOR RELATIVISTIC ELECTRONS AT POSITIVE TEMPERATURE	2008	Christian Hainzl Mathieu Lewin Robert Seiringer	3