On the Uniqueness of Solutions to the Gross-Pitaevskii Hierarchy

Sergiù Klainerman, Matei Machedon

Type: Article

Publication Date: 2008-02-05

Citations: 154

DOI: https://doi.org/10.1007/s00220-008-0426-4

View Publication

Download PDF

Locations

Communications in Mathematical Physics - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Global well-posedness for Gross-Pitaevskii hierarchies	2014	Chuangye Liu Minmin Liu
+ PDF Chat	Unconditional Uniqueness for the Cubic Gross‐Pitaevskii Hierarchy via Quantum de Finetti	2014	Thomas Chen Christian Hainzl Nataša Pavlović Robert Seiringer
+ PDF Chat	Unconditional Uniqueness of the cubic Gross--Pitaevskii Hierarchy with Low Regularity	2015	Younghun Hong Kenneth Taliaferro Zhihui Xie
+	On the uniqueness of solutions to the periodic 3D Gross–Pitaevskii hierarchy	2014	Philip T. Gressman Vedran Sohinger Gigliola Staffilani
+ PDF Chat	On the Cauchy problem for Gross–Pitaevskii hierarchies	2011	Zeqian Chen Chuangye Liu
+	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
+	On Well-Posedness for General Hierarchy Equations of Gross–Pitaevskii and Hartree Type	2020	Zied Ammari Quentin Liard Clément Rouffort
+ PDF Chat	On the Well-Posedness and Scattering for the Gross–Pitaevskii Hierarchy via Quantum de Finetti	2014	Thomas Chen Christian Hainzl Nataša Pavlović Robert Seiringer
+ PDF Chat	A uniqueness result for travelling waves in the Gross-Pitaevskii equation	2022	Eliot Pacherie
+	Blowup alternative for Gross-Pitaevskii hierarchies	2012	Zeqian Chen Chengjun He Chuangye Liu
+	Two Remarks on Solutions of Gross-Pitaevskii Equations on Zhidkov Spaces	2007	Olivier Goubet
+ PDF Chat	Uniqueness of solutions to the 3D quintic Gross–Pitaevskii hierarchy	2015	Younghun Hong Kenneth Taliaferro Zhihui Xie
+ PDF Chat	Global-in-time well-posedness of the one-dimensional hydrodynamic Gross–Pitaevskii equations without vacuum	2023	Robert Wegner
+	A Non-Existence Result for Supersonic Travelling Waves in the Gross-Pitaevskii Equation	2003	Philippe Gravejat
+	Conserved energies for the one dimensional Gross-Pitaevskii equation	2018	Herbert Koch Xian Liao
+ PDF Chat	Derivation of the Gross-Pitaevskii Hierarchy	2006	Benjamin Schlein
+	Global-in-time Well-posedness of the One-dimensional Hydrodynamic Gross-Pitaevskii Equations without Vacuum	2023	Robert E. C. Wegner
+	Existence and properties of travelling waves for the Gross-Pitaevskii equation	2008	Fabrice Béthuel Philippe Gravejat Jean‐Claude Saut
+	Positive Semidefiniteness and Global Well-Posedness of Solutions to the Gross-Pitaevskii Hierarchy	2013	Kenneth Taliaferro Thomas Chen

Works That Cite This (145)

Action	Title	Year	Authors
+ PDF Chat	Energy conservation and blowup of solutions for focusing Gross–Pitaevskii hierarchies	2010	Thomas Chen Nataša Pavlović Nikolaos Tzirakis
+ PDF Chat	Global Well-Posedness of the NLS System for Infinitely Many Fermions	2016	Thomas Chen Younghun Hong Nataša Pavlović
+	Mean field dynamics of a quantum tracer particle interacting with a boson gas	2018	Thomas Chen Avy Soffer
+	Tracer particles coupled to an interacting boson gas	2021	Esteban Cárdenas
+ PDF Chat	Tracer particles coupled to an interacting boson gas	2022	Esteban Felipe Molina Cardenas
+ PDF Chat	Focusing Quantum Many-body Dynamics: The Rigorous Derivation of the 1D Focusing Cubic Nonlinear Schrödinger Equation	2016	Xuwen Chen Justin Holmer
+ PDF Chat	Small Data Global Well-Posedness for a Boltzmann Equation via Bilinear Spacetime Estimates	2021	Thomas Chen Ryan Denlinger Nataša Pavlović
+	An epsilon of room, I : real analysis : pages from year three of a mathematical blog	2010	Terence Tao
+ PDF Chat	Recent Results on the Cauchy Problem for Focusing and Defocusing Gross-Pitaevskii Hierarchies	2010	Thomas Chen Nataša Pavlović
+ PDF Chat	Randomization and the Gross–Pitaevskii Hierarchy	2015	Vedran Sohinger Gigliola Staffilani

Works Cited by This (3)

Action	Title	Year	Authors
+	Space‐time estimates for null forms and the local existence theorem	1993	Sergiù Klainerman Matei Machedon
+ PDF Chat	Endpoint Strichartz estimates	1998	M. Keel Terence Tao
+ 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