Global hypoellipticity and solvability for a class of evolution operators in time-periodic weighted Sobolev spaces
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913774159527936 |
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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 study the hypoellipticity and solvability properties of a class of time-periodic evolution operators, with coefficients globally defined on $\mathbb{R}^d$ and growing polynomially with respect to the space variable. To this aim, we introduce a class of time-periodic weighted Sobolev spaces, whose elements are characterised in terms of suitable Fourier expansions, associated with elliptic operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03414 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global hypoellipticity and solvability for a class of evolution operators in time-periodic weighted Sobolev spaces Silva, Fernando de Ávila Bonino, Matteo Coriasco, Sandro Analysis of PDEs We study the hypoellipticity and solvability properties of a class of time-periodic evolution operators, with coefficients globally defined on $\mathbb{R}^d$ and growing polynomially with respect to the space variable. To this aim, we introduce a class of time-periodic weighted Sobolev spaces, whose elements are characterised in terms of suitable Fourier expansions, associated with elliptic operators. |
| title | Global hypoellipticity and solvability for a class of evolution operators in time-periodic weighted Sobolev spaces |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2501.03414 |