The threshold for the focusing Gross–Pitaevskii equation with trapped dipolar quantum gases

Li Ma, Pei Cao

Type: Article

Publication Date: 2011-02-17

Citations: 16

DOI: https://doi.org/10.1016/j.jmaa.2011.02.031

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Locations

Journal of Mathematical Analysis and Applications - View

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+	On 3d dipolar Bose-Einstein condensates involving quantum fluctuations and three-body interactions	2019	Yongming Luo Athanasios Stylianou
+	Blow up threshold for the Gross–Pitaevskii system with combined nonlocal nonlinearities	2015	Baiyu Liu Li Ma
+ PDF Chat	Sharp Threshold of the Gross-Pitaevskii Equation with Trapped Dipolar Quantum Gases	2011	Li Ma Jing Wang
+	Blow up threshold for the Gross‐Pitaevskii system with trapped dipolar quantum gases	2015	Baiyu Liu Li Ma Jing Wang
+ PDF Chat	Scattering and strong instability of the standing waves for dipolar quantum gases	2020	Juan Huang
+ PDF Chat	Exact value of cross-constrain problem and strong instability of standing waves in trapped dipolar quantum gases	2017	Juan Huang Jian Zhang
+	Strong Instability of Standing Waves for the Nonlinear Schrödinger Equation in Trapped Dipolar Quantum Gases	2020	Binhua Feng Qingxuan Wang
+	Cross-invariant manifolds for the Gross–Pitaevskii–Poisson equation	2022	X. K. Zhou Shihui Zhu
+ PDF Chat	Finite time blow-up for the nonlinear Schrödinger equation in trapped dipolar quantum gases with arbitrarily positive initial energy	2020	Yi Yuan Binhua Feng
+	Complementary study of the standing wave solutions of the Gross-Pitaevskii equation in dipolar quantum gases	2014	Rémi Carles Hichem Hajaiej

Works Cited by This (12)

Action	Title	Year	Authors
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger
+	On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations	1977	Robert T. Glassey
+ PDF Chat	Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrödinger system	2008	Li Ma Lin Zhao
+	Sharp Threshold for Blowup and Global Existence in Nonlinear Schrödinger Equations Under a Harmonic Potential	2005	Jian Zhang
+	Nonlinear Schr�dinger equations and sharp interpolation estimates	1983	Michael I. Weinstein
+	Nonlinear Schrödinger equation with harmonic potential	2006	Ji Shu J. Zhang
+	Instability of symmetric stationary states for some nonlinear Schrödinger equations with an external magnetic field	1991	J. M. Gonçalves Ribeiro
+ PDF Chat	On the Gross–Pitaevskii equation for trapped dipolar quantum gases	2008	Rémi Carles Peter A. Markowich Christof Sparber
+	Semilinear Schrödinger Equations	2003	Thierry Cazenave
+ PDF Chat	Ground state and elementary excitations of single and binary Bose-Einstein condensates of trapped dipolar gases	2002	Krzysztof Góral L. Santos