Hardy inequalities in globally twisted waveguides
  We establish various Hardy-type inequalities for the Dirichlet Laplacian in perturbed periodically twisted tubes of non-circular cross-sections. We also state conjectures about the existence of such inequalities in more general regimes, which we support by heuristic and numerical arguments. 
Philippe Briet, Hiba Hammedi and David Krejcirik
math.SP math-ph math.AP math.MP