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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.06544 |
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| _version_ | 1866911574531244032 |
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| author | da Silva, Ricardo Paleari |
| author_facet | da Silva, Ricardo Paleari |
| contents | In this paper, we study Vekua-type operators associated with diagonal operators on compact Lie groups. Characterizations of global hypoellipticity and global solvability properties are presented on classes of Vekua-type operators with constant coefficients. We also present sufficient conditions in order to get global solvability for a class of Vekua-type operators with non-constant coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_06544 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Global hypoellipticity and global solvability of Vekua-type operators associated with diagonal operators on compact Lie groups da Silva, Ricardo Paleari Analysis of PDEs In this paper, we study Vekua-type operators associated with diagonal operators on compact Lie groups. Characterizations of global hypoellipticity and global solvability properties are presented on classes of Vekua-type operators with constant coefficients. We also present sufficient conditions in order to get global solvability for a class of Vekua-type operators with non-constant coefficients. |
| title | Global hypoellipticity and global solvability of Vekua-type operators associated with diagonal operators on compact Lie groups |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2604.06544 |