Instability of bound states for abstract nonlinear Schrödinger equations
From MaRDI portal
Publication:537713
DOI10.1016/j.jfa.2011.03.010zbMath1228.34092arXiv1010.1511OpenAlexW1995073589MaRDI QIDQ537713
Publication date: 20 May 2011
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.1511
Nonlinear differential equations in abstract spaces (34G20) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items
Instability of degenerate solitons for nonlinear Schrödinger equations with derivative ⋮ On the orbital instability of excited states for the NLS equation with the \(\delta\)-interaction on a star graph ⋮ Stability of solitary waves for a generalized derivative nonlinear Schrödinger equation ⋮ Uniqueness and nondegeneracy of ground states for nonlinear Schrödinger equations with attractive inverse-power potential ⋮ The non-linear Schrödinger equation with a periodic \(\delta\)-interaction ⋮ Nonlinear Schrödinger equation on graphs: recent results and open problems ⋮ On stability properties of the cubic-quintic Schrödinger equation with \(\delta\)-point interaction ⋮ Analysis of stability and instability for standing waves of the double power one dimensional nonlinear Schrödinger equation ⋮ Instability of the standing waves for the nonlinear Klein-Gordon equations in one dimension ⋮ Plane wave stability analysis of Hartree and quantum dissipative systems ⋮ Stability and symmetry-breaking bifurcation for the ground states of a NLS with a \(\delta ^{\prime}\) interaction ⋮ Accurate and efficient numerical methods for the nonlinear Schrödinger equation with Dirac delta potential ⋮ Center stable manifold for ground states of nonlinear Schrödinger equations with internal modes ⋮ Nonlinear instability of half-solitons on star graphs ⋮ Stability of bound states of Hamiltonian PDEs in the degenerate cases ⋮ Instability of the solitary waves for the generalized derivative nonlinear Schrödinger equation in the degenerate case ⋮ Bifurcation and stability for nonlinear Schrödinger equations with double well potential in the semiclassical limit ⋮ Instability of the Solitary Waves for the Generalized Boussinesq Equations ⋮ Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case ⋮ Stability for line solitary waves of Zakharov-Kuznetsov equation ⋮ On orbital instability of spectrally stable vortices of the NLS in the plane ⋮ Instability of standing waves for nonlinear Schrödinger equation with delta potential ⋮ Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities ⋮ Long time oscillation of solutions of nonlinear Schrödinger equations near minimal mass ground state ⋮ Nonlinear dispersive equations: classical and new frameworks ⋮ Stability properties of standing waves for NLS equations with the \(\delta^\prime\)-interaction
Cites Work
- Unnamed Item
- Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations
- Stability theory of solitary waves in the presence of symmetry. II
- Instability of bound states of a nonlinear Schrödinger equation with a Dirac potential
- Stability and instability of standing waves for 1-dimensional nonlinear Schrödinger equation with multiple-power nonlinearity
- Stability of standing waves for a nonlinear Schrödinger equation with a repulsive Dirac delta potential
- Nonlinear Schrödinger equation with a point defect
- Lectures on the orbital stability of standing waves and application to the nonlinear Schrödinger equation
- Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction
- Instability of nonlinear bound states
- An instability mechanism for radially symmetric standing waves of a nonlinear Schrödinger equation
- Stability theory of solitary waves in the presence of symmetry. I
- Strong NLS soliton-defect interactions
- Instability of bound states of nonlinear Schrödinger equations with Morse index equal to two
- Bifurcation from Semitrivial Standing Waves and Ground States for a System of Nonlinear Schrödinger Equations
- Instability of Standing Waves for a System of Nonlinear Schroedinger Equations with Three-Wave Interaction
- Symmetry-Breaking Bifurcation in Nonlinear Schrödinger/Gross–Pitaevskii Equations
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Linearized instability for nonlinear schrödinger and klein-gordon equations
- Nonlinear bound states outside an insulated sphere
- Purely nonlinear instability of standing waves with minimal energy
- Strong Instability of Standing Waves for the Nonlinear Klein–Gordon Equation and the Klein–Gordon–Zakharov System