Dispersion estimates for one-dimensional discrete Schrödinger and wave equations
From MaRDI portal
Publication:906569
DOI10.4171/JST/110zbMath1332.35313arXiv1403.7803WikidataQ57343522 ScholiaQ57343522MaRDI QIDQ906569
Iryna Egorova, Gerald Teschl, Elena A. Kopylova
Publication date: 22 January 2016
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.7803
Scattering theory for PDEs (35P25) Perturbation theories for operators and differential equations in quantum theory (81Q15) Discrete version of topics in analysis (39A12) Difference operators (39A70) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (21)
Dispersion estimates for the discrete Laguerre operator ⋮ Dynamics of noncommutative solitons. I: Spectral theory and dispersive estimates ⋮ Expansion of eigenvalues of the perturbed discrete bilaplacian ⋮ Dispersion estimates for spherical Schrödinger equations ⋮ Asymptotic stability of small bound state of nonlinear quantum walks ⋮ On the translation invariant operators on \(\ell^p(\mathbb{Z}^d)\) ⋮ Long-time asymptotic analysis of the Korteweg–de Vries equation via the dbar steepest descent method: the soliton region ⋮ Dispersion estimates for one-dimensional discrete Dirac equations ⋮ Properties of the scattering matrix and dispersion estimates for Jacobi operators ⋮ Scattering properties and dispersion estimates for a one‐dimensional discrete Dirac equation ⋮ Attractors of nonlinear Hamiltonian partial differential equations ⋮ Continuous and discrete dynamical Schrödinger systems: explicit solutions ⋮ The limiting absorption principle for the discrete Wigner-von Neumann operator ⋮ Dispersive estimates for periodic discrete one-dimensional Schrödinger operators ⋮ Structure of noncommutative solitons: existence and spectral theory ⋮ Dispersive estimate for quasi-periodic Schrödinger operators on \(1-d\) lattices ⋮ Dispersion estimates for the discrete Hermite operator ⋮ Stabilization of small solutions of discrete NLS with potential having two eigenvalues ⋮ Dispersive estimates for quantum walks on 1D lattice ⋮ Threshold analysis of the one-rank perturbation non-local discrete Laplacian ⋮ Limiting absorption principle for the 1D discrete Dirac equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Internal modes of discrete solitons near the anti-continuum limit of the dNLS equation
- Dispersive estimates for Schrödinger operators in dimensions one and three
- On the asymptotic stability of solitary waves in the discrete Schrödinger equation coupled to a nonlinear oscillator
- Spectral properties of Schrödinger operators and time-decay of the wave functions
- Abstract wave equations and associated Dirac-type operators
- Dispersion estimates for one-dimensional Schrödinger and Klein-Gordon equations revisited
- Dispersion Decay and Scattering Theory
- Trace Formulas for Schrödinger Operators in Connection with Scattering Theory for Finite-gap Backgrounds
- Dispersive estimates for 1D discrete Schrödinger and Klein–Gordon equations
- On Asymptotic Stability of Standing Waves of Discrete Schrödinger Equation in $\mathbb{Z}$
- On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension
- Inverse scattering on the line
- Endpoint Strichartz estimates
- Asymptotic Stability of Small Bound States in the Discrete Nonlinear Schrödinger Equation
- Transport in the one-dimensional Schrödinger equation
- On the location of the discrete spectrum for complex Jacobi matrices
- Asymptotic behaviour of small solutions for the discrete nonlinear Schrödinger and Klein–Gordon equations
This page was built for publication: Dispersion estimates for one-dimensional discrete Schrödinger and wave equations
