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

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Date
2010
Volume
1511
Issue
Journal
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Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

We 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.

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Keywords
Elliptic div–grad operators, anisotropic ellipticity in three dimensions, transmission at a material interface, mixed Dirichlet–Neumann boundary conditions, optimal Sobolev regularity
Citation
Kaiser, H.-C., & Rehberg, J. (2010). Optimal elliptic regularity at the crossing of a material interface and a Neumann boundary edge (Vol. 1511). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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