Necessary and sufficient conditions for the existence of Helmholtz decompositions in general domains (Q467172)
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scientific article; zbMATH DE number 6363415
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Necessary and sufficient conditions for the existence of Helmholtz decompositions in general domains |
scientific article; zbMATH DE number 6363415 |
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Necessary and sufficient conditions for the existence of Helmholtz decompositions in general domains (English)
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3 November 2014
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In this paper it is shown that for general domains the validity of the gradient estimate in \(L^q(\Omega)\) and in \(G^{q'}(\Omega)\) is necessary and sufficient for the validity of the Helmholtz decomposition in \(L^q(\Omega)\) and in \(G^{q'}(\Omega)\).
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Helmholtz decomposition in \(L^q\)-spaces
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general domains
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gradient estimates
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