Optimal elliptic regularity at the crossing of a material interface and a Neumann boundary edge (Q548730)

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scientific article; zbMATH DE number 5915274
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Optimal elliptic regularity at the crossing of a material interface and a Neumann boundary edge
scientific article; zbMATH DE number 5915274

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    Optimal elliptic regularity at the crossing of a material interface and a Neumann boundary edge (English)
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    30 June 2011
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    The authors investigate optimal elliptic regularity of anisotropic div-grad operators in three dimensions at the crossing of a material interface and an edge of the spatial domain on the Neumann boundary part within the scale of Sobolev spaces. The three dimensional spaces are given as prisms in each case. Transformations between various prisms are given for the proofs of the main theorems.
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    Riemann-Hilbert problem
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    positive definite matrix
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    bounded, polyhedral Lipschitz domain
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    prism
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