Kenneth Taliaferro

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All published works

Action	Title	Year	Authors
+ PDF Chat	Uniqueness of solutions to the 3D quintic Gross–Pitaevskii hierarchy	2015	Younghun Hong Kenneth Taliaferro Zhihui Xie
+ PDF Chat	Unconditional Uniqueness of the cubic Gross--Pitaevskii Hierarchy with Low Regularity	2015	Younghun Hong Kenneth Taliaferro Zhihui Xie
+ PDF Chat	Derivation in Strong Topology and Global Well-Posedness of Solutions to the Gross-Pitaevskii Hierarchy	2014	Thomas Chen Kenneth Taliaferro
+	Unconditional Uniqueness of the cubic Gross-Pitaevskii Hierarchy with Low Regularity	2014	Younghun Hong Kenneth Taliaferro Zhihui Xie
+	Uniqueness of solutions to the 3D quintic Gross-Pitaevskii Hierarchy	2014	Younghun Hong Kenneth Taliaferro Zhihui Xie
+	Positive Semidefiniteness and Global Well-Posedness of Solutions to the Gross-Pitaevskii Hierarchy	2013	Kenneth Taliaferro Thomas Chen
+	Derivation in strong topology and global well-posedness of solutions to the Gross-Pitaevskii hierarchy	2013	Kenneth Taliaferro Thomas Chen

Common Coauthors

Coauthor	Papers Together
Younghun Hong	4
Zhihui Xie	4
Thomas Chen	3

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics	2011	Kay Kirkpatrick Benjamin Schlein Gigliola Staffilani	6
+ PDF Chat	On the Uniqueness of Solutions to the Gross-Pitaevskii Hierarchy	2008	Sergiù Klainerman Matei Machedon	6
+ PDF Chat	The classical limit for quantum mechanical correlation functions	1974	K. Hepp	6
+ 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	5
+	Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential	2009	László Erdős Benjamin Schlein Horng‐Tzer Yau	5
+	On the Cauchy problem for focusing and defocusing Gross-Pitaevskii hierarchies	2010	Thomas Chen Nataša Pavlović	5
+ PDF Chat	Unconditional Uniqueness for the Cubic Gross‐Pitaevskii Hierarchy via Quantum de Finetti	2014	Thomas Chen Christian Hainzl Nataša Pavlović Robert Seiringer	5
+ PDF Chat	Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate	2010	László Erdős Benjamin Schlein Horng‐Tzer Yau	5
+ PDF Chat	Quantum Fluctuations and Rate of Convergence Towards Mean Field Dynamics	2009	Igor Rodnianski Benjamin Schlein	4
+ PDF Chat	On the Klainerman–Machedon conjecture for the quantum BBGKY hierarchy with self-interaction	2016	Xuwen Chen Justin Holmer	4
+	On nonlinear Schrödinger equations, II.H S -solutions and unconditional well-posedness	1995	Tosio Kato	4
+ PDF Chat	A Rigorous Derivation¶of the Gross–Pitaevskii Energy Functional¶for a Two-dimensional Bose Gas	2001	Élliott H. Lieb Robert Seiringer Jakob Yngvason	4
+ PDF Chat	Derivation of the Cubic NLS and Gross–Pitaevskii Hierarchy from Manybody Dynamics in d = 3 Based on Spacetime Norms	2013	Thomas Chen Nataša Pavlović	4
+ PDF Chat	Second Order Corrections to Mean Field Evolution for Weakly Interacting Bosons in The Case of Three-body Interactions	2011	Xuwen Chen	4
+ PDF Chat	On the Rigorous Derivation of the 3D Cubic Nonlinear Schrödinger Equation with a Quadratic Trap	2013	Xuwen Chen	4
+ PDF Chat	Proof of Bose-Einstein Condensation for Dilute Trapped Gases	2002	Élliott H. Lieb Robert Seiringer	4
+ PDF Chat	The quintic NLS as the mean field limit of a boson gas with three-body interactions	2010	Thomas Chen Nataša Pavlović	4
+ PDF Chat	Derivation of the Gross‐Pitaevskii hierarchy for the dynamics of Bose‐Einstein condensate	2006	László Erdős Benjamin Schlein Horng‐Tzer Yau	4
+ PDF Chat	Second-Order Corrections to Mean Field Evolution of Weakly Interacting Bosons. I.	2009	Manoussos G. Grillakis Matei Machedon Dionisios Margetis	4
+	Derivation of Hartreeʼs theory for generic mean-field Bose systems	2014	Mathieu Lewin Phan Thành Nam Nicolas Rougerie	4
+	Semilinear Schrödinger Equations	2003	Thierry Cazenave	3
+ PDF Chat	A new proof of existence of solutions for focusing and defocusing Gross-Pitaevskii hierarchies	2012	Thomas Chen Nataša Pavlović	3
+ PDF Chat	On the unconditional uniqueness of solutions to the infinite radial Chern–Simons–Schrödinger hierarchy	2014	Xuwen Chen Paul N. Smith	3
+	On the uniqueness of solutions to the periodic 3D Gross–Pitaevskii hierarchy	2014	Philip T. Gressman Vedran Sohinger Gigliola Staffilani	3
+ PDF Chat	A Simple Derivation of Mean Field Limits for Quantum Systems	2011	Peter Pickl	3
+ PDF Chat	Pair Excitations and the Mean Field Approximation of Interacting Bosons, I	2013	Manoussos G. Grillakis Matei Machedon	3
+	Collapsing estimates and the rigorous derivation of the 2d cubic nonlinear Schrödinger equation with anisotropic switchable quadratic traps	2012	Xuwen Chen	3
+	Second-order corrections to mean field evolution of weakly interacting Bosons. II	2011	Manoussos G. Grillakis Matei Machedon Dionisios Margetis	3
+ PDF Chat	On the Rigorous Derivation of the 2D Cubic Nonlinear Schrödinger Equation from 3D Quantum Many-Body Dynamics	2013	Xuwen Chen Justin Holmer	2
+	Symmetric states of infinite tensor products of C∗-algebras	1969	Erling Størmer	2
+	Unconditional well-posedness for subcritical NLS in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mi>H</mml:mi><mml:mi>s</mml:mi></mml:msup></mml:math>	2007	Keith M. Rogers	2
+ PDF Chat	Finite Exchangeable Sequences	1980	Persi Diaconis Darcy A. Freedman	2
+ PDF Chat	On the Mean-Field Limit of Bosons with Coulomb Two-Body Interaction	2009	Jürg Fröhlich Antti Knowles Simon Schwarz	2
+ PDF Chat	Rate of Convergence Towards Hartree Dynamics	2011	Li Chen Ji Oon Lee Benjamin Schlein	2
+ PDF Chat	Locally normal symmetric states and an analogue of de Finetti's theorem	1976	R. L. Hudson Gwenllian Moody	2
+ PDF Chat	Unconditional uniqueness of solution for the Cauchy problem of the nonlinear Schrödinger equation	2008	Yin Yin Su Win Yoshio Tsutsumi	2
+	The Mathematics of the Bose Gas and its Condensation	2005	Elliott H. Lieb	2
+ PDF Chat	Endpoint Strichartz estimates	1998	M. Keel Terence Tao	2
+	Besov Spaces and Unconditional Well-Posedness for the Nonlinear Schrödinger Equation in $\dot{\rm H}^s({\mathbb R}^n)$	2003	Giulia Furioli Elide Terraneo	2
+ PDF Chat	Mean Field Limit for Bosons and Infinite Dimensional Phase-Space Analysis	2008	Zied Ammari Francis Nier	2
+	Multilinear Embedding and Hardy's Inequality	2013	William Beckner	2
+ PDF Chat	Global well-posedness and scattering for the energy-critical Schrödinger equation in ℝ<sup>3</sup>	2008	J. Colliander M. Keel Gigliola Staffilani Hideo Takaoka Terence Tao	2
+ PDF Chat	Multilinear Morawetz identities for the Gross-Pitaevskii hierarchy	2012	Tao Chen Nina Pavlović Nikolaos Tzirakis	2
+ PDF Chat	Derivation of the nonlinear Schrödinger equation from a many-body Coulomb system	2001	László Erdős Horng‐Tzer Yau	2
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	2
+	Nonlinear Dispersive Equations	2006	Terence Tao	2
+	A rigorous derivation of the defocusing cubic nonlinear Schrödinger equation on $ T^{3} $ from the dynamics of many-body quantum systems	2014	Vedran Sohinger	2
+ PDF Chat	Mean-Field- and Classical Limit of Many-Body Schrödinger Dynamics for Bosons	2007	Jürg Fröhlich Sandro Graffi Simon Schwarz	2
+ PDF Chat	Pair excitations and the mean field approximation of interacting Bosons, II	2016	Manoussos G. Grillakis Matei Machedon	2
+	Space‐time estimates for null forms and the local existence theorem	1993	Sergiù Klainerman Matei Machedon	2