2 citations · 2 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.CA2004
Integrals of polylogarithmic functions, recurrence relations, and associated Euler sums
P. Freitas
We show that integrals of the form \[ \dint_{0}^{1} x^{m}{\rm Li}_{p}(x){\rm Li}_{q}(x)dx, (m\geq -2, p,q\geq 1) \] and \[ \dint_{0}^{1} \frac{\ds \log^{r}(x){\rm Li}_{p}(x){\rm Li…
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…