Orbital stability of nonlinear Schrödinger-Kirchhoff equations
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Publication:2071296
DOI10.1007/s00009-021-01969-1zbMath1482.35034OpenAlexW4206915263MaRDI QIDQ2071296
Publication date: 27 January 2022
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-021-01969-1
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Integro-partial differential equations (35R09)
Cites Work
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Nonlinear scalar field equations. I: Existence of a ground state
- Stability of semiclassical bound states of nonlinear Schrödinger equations with potentials
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- On the orbital stability of a periodic solution of the equations of motion of a Kovalevskaya gyroscope
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- The orbital stability of the trajectories of dynamic systems
- Existence of solitary waves in higher dimensions
- Non-degeneracy of positive solutions of Kirchhoff equations and its application
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Orbital stability of solitary waves for the nonlinear derivative Schrödinger equation
- Modulational stability of ground states to nonlinear Kirchhoff equations
- Spectra of Linearized Operators for NLS Solitary Waves
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- On the stability theory of solitary waves
- Orbital stability of solitary waves of the long wave-short wave resonance equations
- Orbital stability of solitary wave solutions for an interaction equation of short and long dispersive waves
