A Hardy inequality in a twisted Dirichlet-Neumann waveguide

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.

12 pages, LaTeX with 4 EPS figures

References in corpus (1)

• On the spectrum of curved quantum waveguides

Cited by in corpus (1)

• Straight Quantum Waveguide with Robin Boundary Conditions