Sharp convergence for sequences of Schrödinger means and related generalizations
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866913810832424960 |
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| author | Li, Wenjuan Wang, Huiju Yan, Dunyan |
| author_facet | Li, Wenjuan Wang, Huiju Yan, Dunyan |
| contents | For decreasing sequences $\{t_{n}\}_{n=1}^{\infty}$ converging to zero, we obtain the almost everywhere convergence results for sequences of Schrödinger means $e^{it_{n}Δ}f$, where $f \in H^{s}(\mathbb{R}^{N}), N\geq 2$. The convergence results are sharp up to the endpoints, and the method can also be applied to get the convergence results for the fractional Schrödinger means and nonelliptic Schrödinger means. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_08440 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Sharp convergence for sequences of Schrödinger means and related generalizations Li, Wenjuan Wang, Huiju Yan, Dunyan Classical Analysis and ODEs Analysis of PDEs 42B25, 42B37 For decreasing sequences $\{t_{n}\}_{n=1}^{\infty}$ converging to zero, we obtain the almost everywhere convergence results for sequences of Schrödinger means $e^{it_{n}Δ}f$, where $f \in H^{s}(\mathbb{R}^{N}), N\geq 2$. The convergence results are sharp up to the endpoints, and the method can also be applied to get the convergence results for the fractional Schrödinger means and nonelliptic Schrödinger means. |
| title | Sharp convergence for sequences of Schrödinger means and related generalizations |
| topic | Classical Analysis and ODEs Analysis of PDEs 42B25, 42B37 |
| url | https://arxiv.org/abs/2207.08440 |