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arXiv · 2512.22613

Dispersive estimates for discrete Klein-Gordon equations on one-dimensional lattice with quasi-periodic potentials

Zhiqiang Wan·Heng Zhang
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Abstract

We prove $\ell^{1}\!\to\!\ell^{\infty}$ dispersive estimates for the discrete Klein--Gordon equation on $\mathbb Z$ with small real-analytic quasi-periodic potentials, showing that the time-decay rate persists as $(\tfrac13)^{-}$. As applications, we derive the corresponding Strichartz estimates and establish small-data global well-posedness for the associated nonlinear discrete Klein--Gordon equation.

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Zhiqiang Wan, Heng Zhang. 2025-12-27. Dispersive estimates for discrete Klein-Gordon equations on one-dimensional lattice with quasi-periodic potentials. https://arxiv.org/abs/2512.22613

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