WIAS Preprint No. 1511, (2010)

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


  • Kaiser, Hans-Christoph
  • Rehberg, Joachim

2010 Mathematics Subject Classification

  • 35B65 35J25 35R05


  • Elliptic div-grad operators, anisotropic ellipticity in three dimensions, transmission at a material interface, mixed Dirichlet-Neumann boundary conditions, optimal Sobolev regularity


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.

Appeared in

  • J. Math. Sci. (N. Y.), 169 (2010) pp. 145--166. Primary publication: ``Optimal'naya regulyarnost' ellipticheskogo operatora na peresechenii poverkhnosti razdela sred i rebra na granitse s usloviem Neumana'' (Russian) in ``Problems in Mathematical Analysis'' 48, July 2010, pp. 15--34.

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