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A Hardy inequality in a twisted Dirichlet–Neumann waveguide

✍ Scribed by H. Kovařík; D. Krejčiřík

Publisher: John Wiley and Sons
Year: 2008
Tongue: English
Weight: 146 KB
Volume: 281
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200610667

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✦ Synopsis

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 Kříž [5]. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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