Sharp convergence rate on Schrödinger type operators
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916257491582976 |
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| author | Wang, Meng Zhao, Shuijiang |
| author_facet | Wang, Meng Zhao, Shuijiang |
| contents | For Schrödinger type operators in one dimension, we consider the relationship between the convergence rate and the regularity for initial data. By establishing the associated frequency-localized maximal estimates, we prove sharp results up to the endpoints. The optimal range for the wave operator in all dimensions is also obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_14134 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sharp convergence rate on Schrödinger type operators Wang, Meng Zhao, Shuijiang Analysis of PDEs Classical Analysis and ODEs 42B25 For Schrödinger type operators in one dimension, we consider the relationship between the convergence rate and the regularity for initial data. By establishing the associated frequency-localized maximal estimates, we prove sharp results up to the endpoints. The optimal range for the wave operator in all dimensions is also obtained. |
| title | Sharp convergence rate on Schrödinger type operators |
| topic | Analysis of PDEs Classical Analysis and ODEs 42B25 |
| url | https://arxiv.org/abs/2405.14134 |