Global hypoellipticity for a class of time-periodic operators on asymptotically Euclidean manifolds
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909769318531072 |
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| author | Silva, Fernando de Ávila Bonino, Matteo Coriasco, Sandro |
| author_facet | Silva, Fernando de Ávila Bonino, Matteo Coriasco, Sandro |
| contents | We introduce time-periodic Gevrey-Sobolev-Kato spaces on asymptotically Euclidean manifolds and study their characterisation throughout Fourier expansions associated with suitable elliptic operators. As an application, we study the global hypoellipticity problem for a naturally associated class of time-periodic evolution equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03745 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global hypoellipticity for a class of time-periodic operators on asymptotically Euclidean manifolds Silva, Fernando de Ávila Bonino, Matteo Coriasco, Sandro Analysis of PDEs 46F05, 35B10, 35B65, 35H10, 35S05 We introduce time-periodic Gevrey-Sobolev-Kato spaces on asymptotically Euclidean manifolds and study their characterisation throughout Fourier expansions associated with suitable elliptic operators. As an application, we study the global hypoellipticity problem for a naturally associated class of time-periodic evolution equations. |
| title | Global hypoellipticity for a class of time-periodic operators on asymptotically Euclidean manifolds |
| topic | Analysis of PDEs 46F05, 35B10, 35B65, 35H10, 35S05 |
| url | https://arxiv.org/abs/2509.03745 |