Entartete lineare elliptische Differentialgleichungen und anisotrope Sobolevräume: Regularität schwacher Lösungen. (Degenerate linear elliptic differential equations and anisotropic Sobolev spaces: regularity of weak solutions) (Q1102449)
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scientific article; zbMATH DE number 4050126
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Entartete lineare elliptische Differentialgleichungen und anisotrope Sobolevräume: Regularität schwacher Lösungen. (Degenerate linear elliptic differential equations and anisotropic Sobolev spaces: regularity of weak solutions) |
scientific article; zbMATH DE number 4050126 |
Statements
Entartete lineare elliptische Differentialgleichungen und anisotrope Sobolevräume: Regularität schwacher Lösungen. (Degenerate linear elliptic differential equations and anisotropic Sobolev spaces: regularity of weak solutions) (English)
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1986
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Regularity of weak solutions of a class of degenerate linear elliptic equations is proved under natural assumptions on the data. Using anisotropic Sobolev spaces and Fourier decomposition of solutions the author proves higher differentiability of a solution in regular or strongly regular directions of an anisotropic elliptic operator.
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Regularity
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weak solutions
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anisotropic Sobolev spaces
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Fourier decomposition
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higher differentiability
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anisotropic elliptic operator
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0.9175648093223572
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0.8011733889579773
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