138 citations · 1.3k across the 90 of their papers we have counts for
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math.SP2004★ 2 cited
Geometrically induced discrete spectrum in curved tubes
B. Chenaud, P. Duclos, P. Freitas +1
The Dirichlet Laplacian in curved tubes of arbitrary cross-section rotating with respect to the Tang frame along infinite curves in Euclidean spaces of arbitrary dimension is inves…
math.AP2004
Instability results for the damped wave equation in unbounded domains
Pedro Freitas, David Krejcirik
We extend some previous results for the damped wave equation in bounded domains in Euclidean spaces to the unbounded case. In particular, we show that if the damping term is of the…
math-ph2004★ 43 cited
A lower bound to the spectral threshold in curved tubes
P. Exner, P. Freitas, D. Krejcirik
We consider the Laplacian in curved tubes of arbitrary cross-section rotating together with the Frenet frame along curves in Euclidean spaces of arbitrary dimension, subject to Dir…