A Hardy inequality in a twisted Dirichlet-Neumann waveguide
Mathematical Physics
2009-03-19 v1 math.MP
Spectral Theory
Abstract
We consider the Laplacian in a straight strip, subject to a combination of Dirichlet and Neumann boundary conditions. We show that a switch of the respective boundary conditions leads to a Hardy inequality for the Laplacian. As a byproduct of our method, we obtain a simple proof of a theorem of Dittrich and Kriz.
Cite
@article{arxiv.math-ph/0603076,
title = {A Hardy inequality in a twisted Dirichlet-Neumann waveguide},
author = {Hynek Kovarik and David Krejcirik},
journal= {arXiv preprint arXiv:math-ph/0603076},
year = {2009}
}
Comments
12 pages, LaTeX with 4 EPS figures