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arXiv · 2505.14475

Optimal dispersion for discrete periodic Schrödinger operators

David Damanik·Jake Fillman·Giorgio Young
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Abstract

We prove a dispersive estimate for periodic discrete Schrödinger operators on the line with optimal rate of decay. Additionally, by standard methods, we deduce dispersive estimates for the discrete nonlinear Schrödinger equation with small initial data and suitable nonlinearity when the underlying Hamiltonian is periodic.

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David Damanik, Jake Fillman, Giorgio Young. 2025-05-20. Optimal dispersion for discrete periodic Schrödinger operators. https://arxiv.org/abs/2505.14475

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