The Meyers-Serrin theorem on Riemannian manifolds: a survey
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2024
- DOI:
- 10.48550/arXiv.2405.13322
- arXiv:
- arXiv:2405.13322
- Bibcode:
- 2024arXiv240513322C
- Keywords:
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- Mathematics - Analysis of PDEs;
- Mathematics - Differential Geometry
- E-Print:
- 13 pages, submitted