On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations
DOI10.3934/dcds.2020316zbMath1460.35321arXiv1801.04079OpenAlexW3080585891MaRDI QIDQ1995538
Scipio Cuccagna, Andrew Komech
Publication date: 24 February 2021
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.04079
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic stability of solitary waves in generalized Gross-Neveu model
- On orbital instability of spectrally stable vortices of the NLS in the plane
- The Hamiltonian structure of the nonlinear Schrödinger equation and the asymptotic stability of its ground states
- New estimates for a time-dependent Schrödinger equation
- Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption
- Stability of normalized solitary waves for three coupled nonlinear Schrödinger equations
- Stability theory of solitary waves in the presence of symmetry. II
- Stable directions for small nonlinear Dirac standing waves
- Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
- Spectral properties of Schrödinger operators and time-decay of the wave functions
- Spectral stability of bi-frequency solitary waves in Soler and Dirac-Klein-Gordon models
- Orbital stability via the energy-momentum method: the case of higher dimensional symmetry groups
- Nonlinear wave and Schrödinger equations. I: Instability of periodic and quasiperiodic solutions
- Asymptotic stability of ground states in some Hamiltonian PDEs with symmetry
- On weak interaction between a ground state and a trapping potential
- Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity
- On weak interaction between a ground state and a non-trapping potential
- Asymptotic stability of small gap solitons in nonlinear Dirac equations
- On Stability of Standing Waves of Nonlinear Dirac Equations
- On dispersion of small energy solutions of the nonlinear Klein Gordon equation with a potential
- Asymptotic Stability of Multi-soliton Solutions for Nonlinear Schrödinger Equations
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- Stabilization of solutions to nonlinear Schrödinger equations
- On the Darboux and Birkhoff steps in the asymptotic stability of solitons
- Nonlinear Dirac Equation
- On asymptotic stability of moving ground states of the nonlinear Schrödinger equation
This page was built for publication: On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations
