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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.22613 |
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| _version_ | 1866911634307416064 |
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| author | Wan, Zhiqiang Zhang, Heng |
| author_facet | Wan, Zhiqiang Zhang, Heng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22613 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dispersive estimates for discrete Klein-Gordon equations on one-dimensional lattice with quasi-periodic potentials Wan, Zhiqiang Zhang, Heng Analysis of PDEs 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. |
| title | Dispersive estimates for discrete Klein-Gordon equations on one-dimensional lattice with quasi-periodic potentials |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2512.22613 |