Orbital stability of standing waves for fractional Hartree equation with unbounded potentials
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Publication:5236885
DOI10.1090/conm/725/14561zbMath1423.35357arXiv1908.01038OpenAlexW2922119881MaRDI QIDQ5236885
Shihui Zhu, Shijun Zheng, Jian Zhang
Publication date: 16 October 2019
Published in: Nonlinear Dispersive Waves and Fluids (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.01038
Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)
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Cites Work
- Unnamed Item
- Unnamed Item
- On the blow-up solutions for the nonlinear fractional Schrödinger equation
- Sharp threshold of global existence and instability of standing wave for the Schrödinger-Hartree equation with a harmonic potential
- Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars
- On blowup for time-dependent generalized Hartree-Fock equations
- Existence and stability of standing waves for nonlinear fractional Schrödinger equations with Hartree type nonlinearity
- On the bound states of the nonlinear Schrödinger equation with a linear potential
- Cauchy problem and Ehrenfest's law of nonlinear Schrödinger equations with potentials
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- The Chandrasekhar theory of stellar collapse as the limit quantum mechanics
- Stability of standing waves for nonlinear Schrödinger equations with potentials
- Stability of standing waves for nonlinear Schrödinger equations with unbounded potentials
- Stability of standing waves for the nonlinear fractional Schrödinger equation
- Sharp threshold of blow-up and scattering for the fractional Hartree equation
- Existence of stable standing waves for the fractional Schrödinger equations with combined nonlinearities
- Stability of standing waves for the fractional Schrödinger-Hartree equation
- Fractional Schrödinger dynamics and decoherence
- On the orbital stability of fractional Schrödinger equations
- Stability of standing waves for theL2-critical Hartree equations with harmonic potential
- Bound state for the fractional Schrödinger equation with unbounded potential
- Existence and stability of standing waves for nonlinear fractional Schrödinger equations
- Soliton dynamics for fractional Schrödinger equations
- Blowup for nonlinear wave equations describing boson stars
- Stability of attractive Bose-Einstein condensates
- Stability and instability of standing waves for the nonlinear Schrödinger equation with harmonic potential
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