Hardy Inequalities in Globally Twisted Waveguides
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- Briet, P., Hammedi, H. & Krejčiřík, D. Lett Math Phys (2015) 105: 939. doi:10.1007/s11005-015-0768-8
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.
Mathematics Subject ClassificationPrimary: 35R45 81Q10 Secondary: 35J10 58J50 78A50
Keywordsquantum waveguides twisted tubes Dirichlet Laplacian Hardy inequality
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