Matei Machedon

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All published works

Action	Title	Year	Authors
+	Global Uniform in N Estimates for Solutions of a System of Hartree–Fock–Bogoliubov Type in the Case $$\beta <1$$	2024	Jacky J. Chong Xiaoyi Dong Manoussos G. Grillakis Matei Machedon Zengqin Zhao
+	Global uniform in $N$ estimates for solutions of a system of Hartree-Fock-Bogoliubov type in the case $β<1$	2022	Jacky J. Chong Xin Dong Manossos Grillakis Matei Machedon Zehua Zhao
+ PDF Chat	Global estimates for the Hartree–Fock–Bogoliubov equations	2021	Jacky J. Chong Manoussos G. Grillakis Matei Machedon Zehua Zhao
+ PDF Chat	Counterexamples to Lp collapsing estimates	2021	Xiumin Du Matei Machedon
+	Counterexamples to $L^p$ collapsing estimates	2020	Xiumin Du Matei Machedon
+	Global estimates for the Hartree-Fock-Bogoliubov equations	2020	Jacky J. Chong Manoussos G. Grillakis Matei Machedon Zehua Zhao
+ PDF Chat	Uniform in <i>N</i> estimates for a Bosonic system of Hartree–Fock–Bogoliubov type	2019	Manoussos G. Grillakis Matei Machedon
+	Uniform in $N$ estimates for a Bosonic system of Hartree-Fock-Bogoliubov type	2018	Manoussos G. Grillakis Matei Machedon
+	Uniform in $N$ estimates for a Bosonic system of Hartree-Fock-Bogoliubov type	2018	Manoussos G. Grillakis Matei Machedon
+ PDF Chat	Pair excitations and the mean field approximation of interacting Bosons, II	2016	Manoussos G. Grillakis Matei Machedon
+ PDF Chat	Pair Excitations and the Mean Field Approximation of Interacting Bosons, I	2013	Manoussos G. Grillakis Matei Machedon
+ PDF Chat	Beyond mean field: On the role of pair excitations in the evolution of condensates	2013	Manoussos G. Grillakis Matei Machedon
+	Second-order corrections to mean field evolution of weakly interacting Bosons. II	2011	Manoussos G. Grillakis Matei Machedon Dionisios Margetis
+ PDF Chat	Second-Order Corrections to Mean Field Evolution of Weakly Interacting Bosons. I.	2009	Manoussos G. Grillakis Matei Machedon Dionisios Margetis
+ PDF Chat	On the Uniqueness of Solutions to the Gross-Pitaevskii Hierarchy	2008	Sergiù Klainerman Matei Machedon
+ PDF	Almost optimal local well-posedness for the (3+1)-dimensional Maxwell–Klein–Gordon equations	2003	Matei Machedon Jacob Sterbenz
+	On the algebraic properties of the $H_{\frac{n}{2},{\frac{1}{2}}}$ spaces	1998	Sergiù Klainerman Matei Machedon
+	On the regularity properties of a model problem related to wave maps	1997	Sergiù Klainerman Matei Machedon
+ PDF	On the optimal local regularity for gauge field theories	1997	Sergiù Klainerman Matei Machedon
+ PDF	On the regularity properties of non-linear wave equations	1997	Sergiù Klainerman Matei Machedon
+	None	1996	Sergiù Klainerman Matei Machedon
+	Finite Energy Solutions of the Yang-Mills Equations in ℝ 3+1	1995	Sergiù Klainerman Matei Machedon
+	Smoothing estimates for null forms and applications	1995	Sergiù Klainerman Matei Machedon
+	On the Maxwell-Klein-Gordon equation with finite energy	1994	Sergiù Klainerman Matei Machedon
+	On the Regularity Properties of the Wave Equation	1994	Sergiù Klainerman Matei Machedon
+	None	1994	Sergiù Klainerman Matei Machedon
+	Space‐time estimates for null forms and the local existence theorem	1993	Sergiù Klainerman Matei Machedon
+	Hölder estimates on CR manifolds with a diagonalizable Levi form	1990	Charles Fefferman J. J. Kohn Matei Machedon
+	Szego Kernels on Pseudoconvex Domains with One Degenerate Eigenvalue	1988	Matei Machedon
+	Estimates for the parametrix of the Kohn Laplacian on certain domains	1988	Matei Machedon

Common Coauthors

Coauthor	Papers Together
Sergiù Klainerman	12
Manoussos G. Grillakis	11
Jacky J. Chong	4
Zehua Zhao	3
Dionisios Margetis	2
Xiumin Du	2
J. J. Kohn	1
Charles Fefferman	1
Jacob Sterbenz	1
Xiaoyi Dong	1
Zengqin Zhao	1
Manossos Grillakis	1
Xin Dong	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Space‐time estimates for null forms and the local existence theorem	1993	Sergiù Klainerman Matei Machedon	14
+ PDF Chat	Quantum Fluctuations and Rate of Convergence Towards Mean Field Dynamics	2009	Igor Rodnianski Benjamin Schlein	9
+ PDF Chat	On the Uniqueness of Solutions to the Gross-Pitaevskii Hierarchy	2008	Sergiù Klainerman Matei Machedon	9
+ PDF Chat	Second-Order Corrections to Mean Field Evolution of Weakly Interacting Bosons. I.	2009	Manoussos G. Grillakis Matei Machedon Dionisios Margetis	8
+ PDF	Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate	2010	László Erdős Benjamin Schlein Horng‐Tzer Yau	7
+ PDF	The classical limit for quantum mechanical correlation functions	1974	K. Hepp	7
+ PDF Chat	Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems	2006	László Erdős Benjamin Schlein Horng‐Tzer Yau	7
+	The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices	1993	Carlos E. Kenig Gustavo Ponce Luis Vega	6
+ PDF Chat	On the Klainerman–Machedon conjecture for the quantum BBGKY hierarchy with self-interaction	2016	Xuwen Chen Justin Holmer	6
+ PDF Chat	Second Order Corrections to Mean Field Evolution for Weakly Interacting Bosons in The Case of Three-body Interactions	2011	Xuwen Chen	6
+ PDF Chat	Pair excitations and the mean field approximation of interacting Bosons, II	2016	Manoussos G. Grillakis Matei Machedon	6
+ PDF Chat	Pair Excitations and the Mean Field Approximation of Interacting Bosons, I	2013	Manoussos G. Grillakis Matei Machedon	6
+ PDF Chat	Uniform in <i>N</i> estimates for a Bosonic system of Hartree–Fock–Bogoliubov type	2019	Manoussos G. Grillakis Matei Machedon	5
+ PDF	Derivation of the nonlinear Schrödinger equation from a many-body Coulomb system	2001	László Erdős Horng‐Tzer Yau	5
+ PDF Chat	Beyond mean field: On the role of pair excitations in the evolution of condensates	2013	Manoussos G. Grillakis Matei Machedon	5
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain	5
+ PDF Chat	Rigorous Derivation of the Gross-Pitaevskii Equation	2007	László Erdős Benjamin Schlein Horng‐Tzer Yau	5
+	Scattering in the energy space and below for 3D NLS	1998	Jean Bourgain	5
+ PDF	Derivation of the Cubic NLS and Gross–Pitaevskii Hierarchy from Manybody Dynamics in d = 3 Based on Spacetime Norms	2013	Thomas Chen Nataša Pavlović	5
+	The Mathematics of the Bose Gas and its Condensation	2005	Elliott H. Lieb	5
+ PDF Chat	Quantum Many-Body Fluctuations Around Nonlinear Schrödinger Dynamics	2016	Chiara Boccato Serena Cenatiempo Benjamin Schlein	5
+	On the Maxwell-Klein-Gordon equation with finite energy	1994	Sergiù Klainerman Matei Machedon	5
+ PDF Chat	Derivation of the Gross‐Pitaevskii hierarchy for the dynamics of Bose‐Einstein condensate	2006	László Erdős Benjamin Schlein Horng‐Tzer Yau	5
+ PDF	Endpoint Strichartz estimates	1998	M. Keel Terence Tao	5
+ PDF Chat	Quantitative Derivation of the Gross‐Pitaevskii Equation	2014	Niels Benedikter Gustavo de Oliveira Benjamin Schlein	5
+ PDF	The time-dependent Hartree–Fock–Bogoliubov equations for Bosons	2022	Volker Bach Sébastien Breteaux Thomas Chen Jürg Fröhlich Israel Michael Sigal	5
+	Correlation Structures, Many-Body Scattering Processes, and the Derivation of the Gross–Pitaevskii Hierarchy	2015	Xuwen Chen Justin Holmer	5
+	Smoothing estimates for null forms and applications	1995	Sergiù Klainerman Matei Machedon	5
+	Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations	1977	Robert S. Strichartz	4
+	Second-order corrections to mean field evolution of weakly interacting Bosons. II	2011	Manoussos G. Grillakis Matei Machedon Dionisios Margetis	4
+ PDF	Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics	2011	Kay Kirkpatrick Benjamin Schlein Gigliola Staffilani	4
+ PDF Chat	Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons	2005	Alexander Elgart László Erdős Benjamin Schlein Horng‐Tzer Yau	4
+ PDF	Strichartz inequality for orthonormal functions	2014	Rupert L. Frank Mathieu Lewin Élliott H. Lieb Robert Seiringer	4
+ PDF	The Dirac–Frenkel Principle for Reduced Density Matrices, and the Bogoliubov–de Gennes Equations	2018	Niels Benedikter Jérémy Sok Jan Philip Solovej	4
+	Dynamical Hartree-Fock-Bogoliubov Approximation of Interacting Bosons	2017	Jacky J. Chong	4
+ PDF	Hypoelliptic differential operators and nilpotent groups	1976	Linda Preiss Rothschild E. M. Stein	3
+ PDF Chat	Mean-Field Dynamics: Singular Potentials and Rate of Convergence	2010	Antti Knowles Peter Pickl	3
+ PDF Chat	Solvable model for pair excitation in trapped Boson gas at zero temperature	2008	Dionisios Margetis	3
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain	3
+	Nonlinear Dispersive Equations	2006	Terence Tao	3
+ PDF Chat	On the Rigorous Derivation of the 3D Cubic Nonlinear Schrödinger Equation with a Quadratic Trap	2013	Xuwen Chen	3
+ PDF Chat	Global Well-Posedness of the NLS System for Infinitely Many Fermions	2016	Thomas Chen Younghun Hong Nataša Pavlović	3
+	Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group	1974	Gerald B. Folland E. M. Stein	3
+	Harmonic Analysis in Phase Space. (AM-122)	1989	Gerald B. Folland	3
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	3
+	Fundamental Solutions for Second Order Subelliptic Operators	1986	Charles Fefferman Antonio Sánchez-Calle	3
+	The Grillakis-Machedon-Margetis Second order corrections to mean field evolution for weakly interacting Bosons in the case of 3-body interactions	2009	Xuwen Chen	2
+	Fundamental solutions and geometry of the sum of squares of vector fields	1984	Antonio Sánchez-Calle	2
+ PDF	On the optimal local regularity for gauge field theories	1997	Sergiù Klainerman Matei Machedon	2
+	Non‐coercive boundary value problems	1965	J. J. Kohn Louis Nirenberg	2