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arXiv · 2601.13967

Dispersive estimate for quasi-periodic Klein-Gordon equation on 1-d lattices

Hongyu Cheng
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Abstract

The dispersive estimate plays a pivotal role in establishing the long-term behavior of solutions to the nonlinear equation, thereby being crucial for investigating the well-posedness of the equation.In this work we prove that the solutions to Klein-Gordon equation on 1-d lattices follow the dispersive estimate provided that potential is quasi-periodic with Diophantine frequencies and closed to positive constants.

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Hongyu Cheng. 2026-01-20. Dispersive estimate for quasi-periodic Klein-Gordon equation on 1-d lattices. https://arxiv.org/abs/2601.13967

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