The Meyers-Serrin theorem on Riemannian manifolds: a survey
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866911935409160192 |
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| author | Chan, Chi Hin Czubak, Magdalena |
| author_facet | Chan, Chi Hin Czubak, Magdalena |
| contents | We revisit the questions of density of smooth functions, and differential forms, in Sobolev spaces on Riemannian manifolds. We carefully show equivalence of weak covariant derivatives to weak partial derivatives. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13322 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Meyers-Serrin theorem on Riemannian manifolds: a survey Chan, Chi Hin Czubak, Magdalena Analysis of PDEs Differential Geometry We revisit the questions of density of smooth functions, and differential forms, in Sobolev spaces on Riemannian manifolds. We carefully show equivalence of weak covariant derivatives to weak partial derivatives. |
| title | The Meyers-Serrin theorem on Riemannian manifolds: a survey |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2405.13322 |