Systems of differential operators in time-periodic Gelfand-Shilov spaces
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910358359244800 |
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| author | Silva, Fernando de Ávila Cappiello, Marco Kirilov, Alexandre |
| author_facet | Silva, Fernando de Ávila Cappiello, Marco Kirilov, Alexandre |
| contents | This paper explores the global properties of time-independent systems of operators in the framework of Gelfand-Shilov spaces. Our main results provide both necessary and sufficient conditions for global solvability and global hypoellipticity, based on analysis of the symbols of operators. We also present a class of time-dependent operators whose solvability and hypoellipticity are linked to the same properties of an associated time-independent system, albeit with a loss of regularity for temporal variables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05096 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Systems of differential operators in time-periodic Gelfand-Shilov spaces Silva, Fernando de Ávila Cappiello, Marco Kirilov, Alexandre Analysis of PDEs Primary: 35N05, 35A01. Secondary 35H10, 46F05 This paper explores the global properties of time-independent systems of operators in the framework of Gelfand-Shilov spaces. Our main results provide both necessary and sufficient conditions for global solvability and global hypoellipticity, based on analysis of the symbols of operators. We also present a class of time-dependent operators whose solvability and hypoellipticity are linked to the same properties of an associated time-independent system, albeit with a loss of regularity for temporal variables. |
| title | Systems of differential operators in time-periodic Gelfand-Shilov spaces |
| topic | Analysis of PDEs Primary: 35N05, 35A01. Secondary 35H10, 46F05 |
| url | https://arxiv.org/abs/2403.05096 |