Denjoy-Carleman solvability of Vekua-type periodic operators
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866908949886795776 |
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| author | Kirilov, Alexandre de Moraes, Wagner Augusto Almeida Tokoro, Pedro Meyer |
| author_facet | Kirilov, Alexandre de Moraes, Wagner Augusto Almeida Tokoro, Pedro Meyer |
| contents | This paper explores the solvability and global hypoellipticity of Vekua-type differential operators on the n-dimensional torus, within the framework of Denjoy-Carleman ultradifferentiability. We provide the necessary and sufficient conditions for achieving these global properties in the case of constant-coefficient operators, along with applications to classical operators. Additionally, we investigate a class of variable coefficients and establish conditions for its solvability. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_13110 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Denjoy-Carleman solvability of Vekua-type periodic operators Kirilov, Alexandre de Moraes, Wagner Augusto Almeida Tokoro, Pedro Meyer Analysis of PDEs Primary 35A01, 35B10 Secondary 30G20, 46F05 This paper explores the solvability and global hypoellipticity of Vekua-type differential operators on the n-dimensional torus, within the framework of Denjoy-Carleman ultradifferentiability. We provide the necessary and sufficient conditions for achieving these global properties in the case of constant-coefficient operators, along with applications to classical operators. Additionally, we investigate a class of variable coefficients and establish conditions for its solvability. |
| title | Denjoy-Carleman solvability of Vekua-type periodic operators |
| topic | Analysis of PDEs Primary 35A01, 35B10 Secondary 30G20, 46F05 |
| url | https://arxiv.org/abs/2406.13110 |