A Hardy inequality in a twisted Dirichlet–Neumann waveguide | Zendy

Kovařík H. | Zendy; Krejčiřík D. | Zendy

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A Hardy inequality in a twisted Dirichlet–Neumann waveguide

Author(s) -

Kovařík H.,

Krejčiřík D.

Publication year - 2008

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200610667

Subject(s) - mathematics , dirichlet distribution , neumann boundary condition , laplace operator , boundary (topology) , boundary value problem , von neumann architecture , simple (philosophy) , inequality , mathematical analysis , pure mathematics , philosophy , epistemology

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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