New estimates for elliptic equations and Hodge type systems (Q997828)
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scientific article; zbMATH DE number 5177827
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New estimates for elliptic equations and Hodge type systems |
scientific article; zbMATH DE number 5177827 |
Statements
New estimates for elliptic equations and Hodge type systems (English)
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7 August 2007
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In this paper the authors establish new and important estimates for the Laplace operator, the div-curl system, and more general Hodge systems in arbitrary dimensions \(n\), with data in \(L^1\). They also present related results concerning differential forms with coefficients in the limiting Sobolev space \(W^{1,n}\). The proofs rely essentially on the Littlewood-Paley theory combined with refined analytic estimates.
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elliptic system
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data in \(L^1\)
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div-curl
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Hodge system
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limiting Sobolev spaces
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differential form
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Littlewood-Paley decomposition
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Ginzburg-Landau functional
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