Physics – Mathematical Physics
Scientific paper
2006-03-29
Math. Nachr. 281 (2008), no. 8, 1159-1168.
Physics
Mathematical Physics
12 pages, LaTeX with 4 EPS figures
Scientific paper
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.
Kovarik Hynek
Krejcirik David
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