50 citations · 52 across the 3 of their papers we have counts for
3 papers
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-ph2003★ 50 cited
On the spectrum of curved quantum waveguides
David Krejcirik, Jan Kriz
The spectrum of the Laplace operator in a curved strip of constant width built along an infinite plane curve, subject to three different types of boundary conditions (Dirichlet, Ne…