Stability of standing waves for theL2-critical Hartree equations with harmonic potential
DOI10.1080/00036811.2012.716512zbMath1283.35125OpenAlexW2009741628WikidataQ58291853 ScholiaQ58291853MaRDI QIDQ2846777
Jian Zhang, Juan Huang, Xiaoguang Li
Publication date: 3 September 2013
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2012.716512
Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Atomic physics (81V45)
Related Items (4)
Cites Work
- Solitary waves for the Hartree equation with a slowly varying potential
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Strong instability of standing waves for a nonlocal Schrödinger equation
- Strong instability of standing waves for Hartree equation with harmonic potential
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Solitary waves in nonlinear dispersive systems
- On the blow-up phenomenon for the mass-critical focusing Hartree equation in R4
- Sharp Threshold for Blowup and Global Existence in Nonlinear Schrödinger Equations Under a Harmonic Potential
- Stability of attractive Bose-Einstein condensates
- Stability and instability of standing waves for the nonlinear Schrödinger equation with harmonic potential
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