Hardy inequalities in globally twisted waveguides
classification
🧮 math.SP
math-phmath.APmath.MP
keywords
inequalitiestwistedargumentsconjecturescross-sectionsdirichletestablishexistence
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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.
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