Recent Results on the Cauchy Problem for Focusing and Defocusing Gross-Pitaevskii Hierarchies
Author:
Publisher
EDP Sciences
Subject
Modeling and Simulation,Applied Mathematics
Link
http://www.mmnp-journal.org/10.1051/mmnp/20105403/pdf
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1. On Well-Posedness for General Hierarchy Equations of Gross–Pitaevskii and Hartree Type;Archive for Rational Mechanics and Analysis;2020-07-28
2. A rigorous derivation of the defocusing cubic nonlinear Schrödinger equation on \( T^{3} \) from the dynamics of many-body quantum systems;Annales de l'Institut Henri Poincaré C, Analyse non linéaire;2015-12
3. The Gross–Pitaevskii Hierarchy on General Rectangular Tori;Archive for Rational Mechanics and Analysis;2015-11-26
4. The nonlinear Schrödinger equation on tori: Integrating harmonic analysis, geometry, and probability;Bulletin of the American Mathematical Society;2015-09-01
5. Local existence of solutions to randomized Gross-Pitaevskii hierarchies;Transactions of the American Mathematical Society;2015-06-15
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