Stability of standing waves for the fractional Schrödinger-Choquard equation

DOI10.1016/J.CAMWA.2017.12.025zbMath1409.35213OpenAlexW2782589491MaRDI QIDQ1732506

Binhua Feng, Honghong Zhang

Publication date: 25 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.12.025

zbMATH Keywords

\(L^2\)-critical nonlinearityorbital stability of standing wavesfractional Schrödinger-Choquard equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Fractional partial differential equations (35R11)

Related Items (29)

Error analysis of the unstructured mesh finite element method for the two-dimensional time-space fractional Schrödinger equation with a time-independent potential ⋮ Well-Posedness and Blow-Up for the Fractional Schrödinger- Choquard Equation ⋮ Dynamics of blow-up solutions for the Schrödinger-Choquard equation ⋮ Existence of stable standing waves for the Schrödinger-Choquard equation ⋮ Limiting behavior of blow-up solutions for the cubic nonlinear beam equation ⋮ New existence results for coupled delayed differential systems with multi-parameters ⋮ Mathematical analysis of nonlinear integral boundary value problem of proportional delay implicit fractional differential equations with impulsive conditions ⋮ Instability of standing waves for the inhomogeneous Gross-Pitaevskii equation ⋮ On stability and instability of standing waves for the inhomogeneous fractional Schrödinger equation ⋮ Existence of stable standing waves for the nonlinear Schrödinger equation with inverse-power potential and combined power-type and Choquard-type nonlinearities ⋮ Asymptotic behavior of ground states for a fractional Choquard equation with critical growth ⋮ Blowup results and concentration in focusing Schrödinger-Hartree equation ⋮ Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation ⋮ On instability of standing waves for the mass-supercritical fractional nonlinear Schrödinger equation ⋮ Normalized solutions for the fractional Choquard equations with Sobolev critical and double mass supercritical growth ⋮ Blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation ⋮ Stabilization for wave equation of variable coefficients with Balakrishnan-Taylor damping and source term ⋮ Existence of stable standing waves for the fractional Schrödinger equations with combined power-type and Choquard-type nonlinearities ⋮ On the stability of the solitary waves to the rotation Benjamin‐Ono equation ⋮ Existence and instability of normalized standing waves for the fractional Schrödinger equations in the L2-supercritical case ⋮ Normalized solutions for the fractional Schrödinger equation with a focusing nonlocal L2-critical or L2-supercritical perturbation ⋮ Existence and stability of standing waves for the inhomogeneous Gross-Pitaevskii equation with a partial confinement ⋮ Strong instability of standing waves for a fourth-order nonlinear Schrödinger equation with the mixed dispersions ⋮ Orbital stability of standing waves for Schrödinger type equations with slowly decaying linear potential ⋮ Asymptotic behavior of constraint minimizers for the mass-critical fractional nonlinear Schrödinger equation with a subcritical perturbation ⋮ Stability and instability of standing waves for the fractional nonlinear Schrödinger equations ⋮ Existence of stable standing waves for the nonlinear Schrödinger equation with the Hardy potential ⋮ Schrödinger p⋅–Laplace equations in RN involving indefinite weights and critical growth ⋮ Sharp thresholds of blow-up and global existence for the Schrödinger equation with combined power-type and Choquard-type nonlinearities

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