Dispersive estimate for quasi-periodic Klein-Gordon equation on 1-d lattices
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912835029696512 |
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| author | Cheng, Hongyu |
| author_facet | Cheng, Hongyu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_13967 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dispersive estimate for quasi-periodic Klein-Gordon equation on 1-d lattices Cheng, Hongyu Dynamical Systems 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. |
| title | Dispersive estimate for quasi-periodic Klein-Gordon equation on 1-d lattices |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2601.13967 |