Hardy inequalities in globally twisted waveguides
Spectral Theory
2015-07-31 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
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.
Cite
@article{arxiv.1406.2841,
title = {Hardy inequalities in globally twisted waveguides},
author = {Philippe Briet and Hiba Hammedi and David Krejcirik},
journal= {arXiv preprint arXiv:1406.2841},
year = {2015}
}
Comments
18 pages, 1 figure