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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2407.03269 |
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| _version_ | 1866909241215811584 |
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| author | Silva, Fernando de Ávila de Medeira, Cleber |
| author_facet | Silva, Fernando de Ávila de Medeira, Cleber |
| contents | We consider a complex of pseudo-differential operators associated with an overdetermined system of operators defined on the torus. We characterize the global solvability of this complex when the system has constant coefficients. Furthermore, we establish some connections between the global solvability of the complex and the global solvability of its normal form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03269 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Globally solvable complexes of pseudo-differential operators on the torus Silva, Fernando de Ávila de Medeira, Cleber Analysis of PDEs 35A01, 35N10, 58J10 We consider a complex of pseudo-differential operators associated with an overdetermined system of operators defined on the torus. We characterize the global solvability of this complex when the system has constant coefficients. Furthermore, we establish some connections between the global solvability of the complex and the global solvability of its normal form. |
| title | Globally solvable complexes of pseudo-differential operators on the torus |
| topic | Analysis of PDEs 35A01, 35N10, 58J10 |
| url | https://arxiv.org/abs/2407.03269 |