An identity involving exterior derivatives and applications to Gaffney inequality (Q428409)
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scientific article; zbMATH DE number 6048989
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An identity involving exterior derivatives and applications to Gaffney inequality |
scientific article; zbMATH DE number 6048989 |
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An identity involving exterior derivatives and applications to Gaffney inequality (English)
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22 June 2012
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The authors prove a generalization of an inequality of Gaffney on a bounded open set of Euclidean space with smooth boundary. They do this by proving a relation between the \(L^2\)-norms of the exterior derivative, codifferential, and covariant derivative of any differential form to some integrals of the normal component and tangential component of that differential form along the boundary.
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Gaffney inequality
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