Optimal dispersion for discrete periodic Schr\"odinger operators
Spectral Theory
2025-05-21 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We prove a dispersive estimate for periodic discrete Schr\"odinger operators on the line with optimal rate of decay. Additionally, by standard methods, we deduce dispersive estimates for the discrete nonlinear Schr\"odinger equation with small initial data and suitable nonlinearity when the underlying Hamiltonian is periodic.
Cite
@article{arxiv.2505.14475,
title = {Optimal dispersion for discrete periodic Schr\"odinger operators},
author = {David Damanik and Jake Fillman and Giorgio Young},
journal= {arXiv preprint arXiv:2505.14475},
year = {2025}
}
Comments
18 pages