On local smoothing estimates for wave equations
Fuente:
arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912801109311488 |
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| author | Gan, Shengwen He, Danqing Li, Xiaochun Wu, Shukun |
| author_facet | Gan, Shengwen He, Danqing Li, Xiaochun Wu, Shukun |
| contents | We prove sharp local smoothing estimates for wave equations on compact Riemannian manifolds in $n+1$ dimensions for odd $n$ and obtain improved estimates in even dimensions. This is achieved by deriving local smoothing estimates for certain Fourier integral operators. We also obtain improved local smoothing estimates for wave equations in Euclidean spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_05973 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On local smoothing estimates for wave equations Gan, Shengwen He, Danqing Li, Xiaochun Wu, Shukun Analysis of PDEs Classical Analysis and ODEs We prove sharp local smoothing estimates for wave equations on compact Riemannian manifolds in $n+1$ dimensions for odd $n$ and obtain improved estimates in even dimensions. This is achieved by deriving local smoothing estimates for certain Fourier integral operators. We also obtain improved local smoothing estimates for wave equations in Euclidean spaces. |
| title | On local smoothing estimates for wave equations |
| topic | Analysis of PDEs Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2502.05973 |