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\title{%
  On the Sobolev space $H^1_0(\Omega)$
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\author{
  Thomas Richter
  \thanks{Otto-von-Guericke University Magdeburg, Germany
    \texttt{thomas.richter@ovgu.de}
  }
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This talk is devoted to the Sobolev space $H^1_0(\Omega)$ and its special properties in relation to the mixed finite element method~\cite{bdm85}. 

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\bibitem{bdm85}
  F.\ Brezzi, J.\ Douglas, and L.D.\ Marini. 
  Two families of mixed finite elements for second order elliptic problems.
  \emph{Numerische Mathematik},  47, pp.~217--235,   1985. 
  
  

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