On the regularity of very weak solutions for linear elliptic equations in divergence form (Q2007004)
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scientific article; zbMATH DE number 7259452
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the regularity of very weak solutions for linear elliptic equations in divergence form |
scientific article; zbMATH DE number 7259452 |
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On the regularity of very weak solutions for linear elliptic equations in divergence form (English)
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12 October 2020
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The authors consider a linear homogeneous elliptic equation in divergence form and show that its very weak solutions are actually weak. In order to get the result, they assume that the leading part coefficients satisfy a weak differentiability assumption, i.e., they belong to the space \(W^{1,n}(\Omega)\) and the continuity modulus satisfies a Dini-type continuity assumption.
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elliptic equations
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very weak solutions
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differentiability
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Dini-type continuity
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