Optimal dispersion for discrete periodic Schrödinger operators
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916746613489664 |
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| author | Damanik, David Fillman, Jake Young, Giorgio |
| author_facet | Damanik, David Fillman, Jake Young, Giorgio |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14475 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimal dispersion for discrete periodic Schrödinger operators Damanik, David Fillman, Jake Young, Giorgio Spectral Theory Mathematical Physics Analysis of PDEs 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. |
| title | Optimal dispersion for discrete periodic Schrödinger operators |
| topic | Spectral Theory Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2505.14475 |