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    • The Hardy inequality and the heat equation in twisted tubes 

      Krejčiřík D.; Zuazua E. (Journal des Mathematiques Pures et Appliquees, 2010-12-31)
      We show that a twist of a three-dimensional tube of uniform cross-section yields an improved decay rate for the heat semigroup associated with the Dirichlet Laplacian in the tube. The proof employs Hardy inequalities for ...