Asymptotic behaviour of small solutions for the discrete nonlinear Schrödinger and Klein–Gordon equations
From MaRDI portal
Publication:5313689
DOI10.1088/0951-7715/18/4/022zbMath1181.35266arXivnlin/0409009OpenAlexW2161067425MaRDI QIDQ5313689
Panayotis G. Kevrekidis, Atanas G. Stefanov
Publication date: 1 September 2005
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0409009
KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Lattice dynamics; integrable lattice equations (37K60)
Related Items (41)
Dispersion for Schrödinger operators on regular trees ⋮ FULLY DISCRETE SCHEMES FOR THE SCHRÖDINGER EQUATION: DISPERSIVE PROPERTIES ⋮ Diffraction managed solitons with zero mean diffraction ⋮ Scattering and inverse scattering for nonlinear quantum walks ⋮ Asymptotic stability of breathers in some Hamiltonian networks of weakly coupled oscillators ⋮ On semilinear Tricomi equations with critical exponents or in two space dimensions ⋮ Properties of the scattering matrix and dispersion estimates for Jacobi operators ⋮ Continuum limit of 2D fractional nonlinear Schrödinger equation ⋮ Maximal regularity of parabolic equations associated with a discrete Laplacian ⋮ Continuum limit for the Ablowitz–Ladik system ⋮ Bounds on the growth of high discrete Sobolev norms for the cubic discrete nonlinear Schrödinger equations on \( h\mathbb{Z}\) ⋮ Uniform Strichartz estimates on the lattice ⋮ Asymptotic stability of soliton for discrete nonlinear Schrödinger equation on one-dimensional lattice ⋮ Growth of Sobolev norms and strong convergence for the discrete nonlinear Schrödinger equation ⋮ Dispersion estimates for one-dimensional discrete Schrödinger and wave equations ⋮ Dynamical barrier for the formation of solitary waves in discrete lattices ⋮ Dispersive properties for discrete Schrödinger equations ⋮ Solitary waves in nematic liquid crystals ⋮ Probabilistic Methods for Discrete Nonlinear Schrödinger Equations ⋮ Limiting absorption principle on L p-spaces and scattering theory ⋮ Super-exponential decay of diffraction managed solitons ⋮ Strong Convergence for Discrete Nonlinear Schrödinger equations in the Continuum Limit ⋮ On asymptotic stability of ground states of NLS with a finite bands periodic potential in 1D ⋮ Sharp time decay estimates for the discrete Klein–Gordon equation ⋮ Dispersive estimates for periodic discrete one-dimensional Schrödinger operators ⋮ Absolute continuity of the spectrum of coupled identical systems on 1D lattices ⋮ Dispersive stability of infinite-dimensional Hamiltonian systems on lattices ⋮ Finite difference scheme for two-dimensional periodic nonlinear Schrödinger equations ⋮ Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity ⋮ On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension ⋮ Dispersive estimate for two-periodic discrete one-dimensional Schrödinger operator ⋮ \(L^p\) continuity of wave operators in \(\mathbb Z\) ⋮ Stability of infinite systems of coupled oscillators via random walks on weighted graphs ⋮ Dispersive estimate for quasi-periodic Schrödinger operators on \(1-d\) lattices ⋮ Uniform bounds of discrete Birman–Schwinger operators ⋮ Stabilization of small solutions of discrete NLS with potential having two eigenvalues ⋮ Dispersive estimates for quantum walks on 1D lattice ⋮ Decay and Strichartz Estimates for DNLS ⋮ Uniform resolvent estimates for the discrete Schrödinger operator in dimension three ⋮ A two-grid approximation scheme for nonlinear Schrödinger equations: dispersive properties and convergence ⋮ On the continuum limit for the discrete nonlinear Schrödinger equation on a large finite cubic lattice
This page was built for publication: Asymptotic behaviour of small solutions for the discrete nonlinear Schrödinger and Klein–Gordon equations