Elliptic model problems including mixed boundary conditions and material heterogeneities

  title={Elliptic model problems including mixed boundary conditions and material heterogeneities},
  author={R. Haller-Dintelmann and H. Kaiser and J. Rehberg},
  journal={Journal de Math{\'e}matiques Pures et Appliqu{\'e}es},
  • R. Haller-Dintelmann, H. Kaiser, J. Rehberg
  • Published 2008
  • Mathematics
  • Journal de Mathématiques Pures et Appliquées
  • Abstract We present model problems in three dimensions, where the operator − ∇ ⋅ μ ∇ maps the Sobolev space W Γ 1 , p ( Ω ) isomorphically onto W Γ − 1 , p ( Ω ) for a p > 3 . The emphasis is here on the case where different boundary conditions meet material heterogeneities. 
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