A regularity theorem for fully nonlinear maximally subelliptic PDE
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917770381230080 |
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| author | Memana, Gautam Neelakantan |
| author_facet | Memana, Gautam Neelakantan |
| contents | We prove a sharp interior regularity theorem for fully nonlinear maximally subelliptic PDE in non-isotropic Sobolev spaces adapted to maximally subelliptic operators. This result complements the regularity theorem proven by Street for adapted Zygmund-Hölder spaces. This also recovers the classical regularity theorem for fully nonlinear elliptic differential operators for classical Sobolev spaces. We also obtain a sharp interior regularity theorem for fully nonlinear maximally subelliptic PDE in isotropic Sobolev spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04344 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A regularity theorem for fully nonlinear maximally subelliptic PDE Memana, Gautam Neelakantan Analysis of PDEs 35H20, 35G10, 35G20 We prove a sharp interior regularity theorem for fully nonlinear maximally subelliptic PDE in non-isotropic Sobolev spaces adapted to maximally subelliptic operators. This result complements the regularity theorem proven by Street for adapted Zygmund-Hölder spaces. This also recovers the classical regularity theorem for fully nonlinear elliptic differential operators for classical Sobolev spaces. We also obtain a sharp interior regularity theorem for fully nonlinear maximally subelliptic PDE in isotropic Sobolev spaces. |
| title | A regularity theorem for fully nonlinear maximally subelliptic PDE |
| topic | Analysis of PDEs 35H20, 35G10, 35G20 |
| url | https://arxiv.org/abs/2409.04344 |