Stability of standing waves for nonlinear Schrödinger equations with potentials
From MaRDI portal
Publication:1413559
zbMath1031.35132MaRDI QIDQ1413559
Masahito Ohta, Reika Fukuizumi
Publication date: 17 November 2003
Published in: Differential and Integral Equations (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/11098
Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Affine differential geometry (53A15)
Related Items (34)
On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction ⋮ Sharp threshold of global existence and instability of standing wave for the Schrödinger-Hartree equation with a harmonic potential ⋮ Construction of solutions with exactly \(k\) blow-up points for nonlinear Schrödinger equation with a harmonic potential ⋮ Strong instability of standing waves for nonlinear Schrödinger equations with a partial confinement ⋮ Instability of bound states of nonlinear Schrödinger equations with Morse index equal to two ⋮ Ground states for the planar NLSE with a point defect as minimizers of the constrained energy ⋮ Asymptotic stability of small bound state of nonlinear quantum walks ⋮ Uniqueness and nondegeneracy of ground states for nonlinear Schrödinger equations with attractive inverse-power potential ⋮ Some qualitative studies of the focusing inhomogeneous Gross-Pitaevskii equation ⋮ On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential ⋮ The existence and stability of normalized solutions for a bi-harmonic nonlinear Schrödinger equation with mixed dispersion ⋮ Stability and instability of standing waves for Gross-Pitaevskii equations with double power nonlinearities ⋮ Unstable normalized standing waves for the space periodic NLS ⋮ Strong instability of standing waves for Hartree equation with harmonic potential ⋮ Variational approach to the orbital stability of standing waves of the Gross-Pitaevskii equation ⋮ Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities ⋮ Existence and stability of standing waves for the inhomogeneous Gross-Pitaevskii equation with a partial confinement ⋮ Nonlinear Schrödinger equation with a point defect ⋮ Existence and stability of standing waves for supercritical NLS with a partial confinement ⋮ Stability and instability properties of rotating Bose-Einstein condensates ⋮ Orbital stability of standing waves for Schrödinger type equations with slowly decaying linear potential ⋮ Upper and lower bound of the blow-up rate for nonlinear Schrödinger equation with a harmonic potential ⋮ Stability of Schrödinger-Poisson type equations ⋮ Stability of solitary waves for the Ostrovsky equation ⋮ Ground states for the nonlinear Schrödinger equation under a general trapping potential ⋮ Strong instability of standing waves for nonlinear Schrödinger equations with attractive inverse power potential ⋮ On the inhomogeneous nonlinear Schrödinger equation with harmonic potential and unbounded coefficient ⋮ Orbital Stability: Analysis Meets Geometry ⋮ Instability of ground states for the NLS equation with potential on the star graph ⋮ Strong Instability of Standing Waves for Nonlinear Schrödinger Equations with Harmonic Potential ⋮ Stabilization of small solutions of discrete NLS with potential having two eigenvalues ⋮ Orbital stability of standing waves for fractional Hartree equation with unbounded potentials ⋮ Computing the least action ground state of the nonlinear Schrödinger equation by a normalized gradient flow ⋮ Existence of stable standing waves for the nonlinear Schrödinger equation with the Hardy potential
This page was built for publication: Stability of standing waves for nonlinear Schrödinger equations with potentials