Propagation of regularity for a class of systems of real vector fields on torus
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914783744229376 |
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| author | Ferra, Igor Ambo Santos, Luís Antônio Carvalho dos |
| author_facet | Ferra, Igor Ambo Santos, Luís Antônio Carvalho dos |
| contents | We characterize the global hypoellipticity, almost hypoellipticity and solvability for a class of systems of real vector fields on the (n + 1)-dimensional torus as well as the same properties about the sum of squares associated to the system. The key result is a theorem about propagation of regularity for solutions of the system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02450 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Propagation of regularity for a class of systems of real vector fields on torus Ferra, Igor Ambo Santos, Luís Antônio Carvalho dos Analysis of PDEs 35B65, 35A01, 35F35 We characterize the global hypoellipticity, almost hypoellipticity and solvability for a class of systems of real vector fields on the (n + 1)-dimensional torus as well as the same properties about the sum of squares associated to the system. The key result is a theorem about propagation of regularity for solutions of the system. |
| title | Propagation of regularity for a class of systems of real vector fields on torus |
| topic | Analysis of PDEs 35B65, 35A01, 35F35 |
| url | https://arxiv.org/abs/2405.02450 |