Decay of small odd solutions for long range Schrödinger and Hartree equations in one dimension
From MaRDI portal
Publication:5214072
DOI10.1088/1361-6544/ab591czbMath1434.35185arXiv1906.11274OpenAlexW3005139006MaRDI QIDQ5214072
Publication date: 7 February 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.11274
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Soliton solutions (35C08)
Related Items (6)
On the \(1d\) cubic NLS with a non-generic potential ⋮ On long-time behavior of solutions of the Zakharov–Rubenchik/Benney–Roskes system ⋮ On the decay problem for the Zakharov and Klein-Gordon-Zakharov systems in one dimension ⋮ Stability and instability of breathers in the U(1) Sasa–Satsuma and nonlinear Schrödinger models* ⋮ On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential ⋮ Dispersive estimates for nonlinear Schrödinger equations with external potentials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new proof of long-range scattering for critical nonlinear Schrödinger equations.
- A guide to the Choquard equation
- The Hamiltonian structure of the nonlinear Schrödinger equation and the asymptotic stability of its ground states
- Perturbation theory for infinite-dimensional integrable systems on the line. A case study
- On the Schrödinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases
- Multi solitary waves for nonlinear Schrödinger equations
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Stability theory of solitary waves in the presence of symmetry. I
- Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
- On the bound state of Schrödinger operators in one dimension
- Long range scattering for nonlinear Schrödinger equations in one space dimension
- Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data
- Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension \(n\geq{}2\)
- The bound state of weakly coupled Schrödinger operators in one and two dimensions
- On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
- Nonlinear scattering: The states which are close to a soliton
- Remarks on scattering for nonlinear Schrödinger equations
- The nonlinear Schrödinger equation with a potential
- Global dynamics below excited solitons for the nonlinear Schrödinger equation with a potential
- Existence of multi-solitary waves with logarithmic relative distances for the NLS equation
- Breathers and the dynamics of solutions in KdV type equations
- On asymptotic stability of solitary waves for nonlinear Schrödinger equations
- The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation
- Nonexistence of small, odd breathers for a class of nonlinear wave equations
- Relaxation of solitons in nonlinear Schrödinger equations with potential
- Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations
- On asymptotic stability in energy space of ground states for nonlinear Schrödinger equations
- Asymptotic stability of solitons for mKdV
- Multichannel nonlinear scattering for nonintegrable equations
- Sharp asymptotic behavior of solutions for cubic nonlinear Schrödinger equations with a potential
- Kink dynamics in the $\phi ^4$ model: Asymptotic stability for odd perturbations in the energy space
- Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities
- Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
- The cauchy problem for the critical nonlinear Schrödinger equation in Hs
- On the stability ofN-solitons in integrable systems
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
- On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
- Stabilization of solutions to nonlinear Schrödinger equations
- Asymptotic dynamics of nonlinear Schrödinger equations: Resonance-dominated and dispersion-dominated solutions
- On Stability of Small Solitons of the 1-D NLS with a Trapping Delta Potential
- Decay and Scattering of Small Solutions of Pure Power NLS in ℝ with p > 3 and with a Potential
This page was built for publication: Decay of small odd solutions for long range Schrödinger and Hartree equations in one dimension