13 citations · 26 across the 7 of their papers we have counts for
8 papers
The damped wave equation with singular damping
Pedro Freitas, Nicolas Hefti, Petr Siegl
We analyze the spectral properties and peculiar behavior of solutions of a damped wave equation on a finite interval with a singular damping of the form , . We establish…
A Gelfand-Levitan trace formula for generic quantum graphs
Pedro Freitas, Jiri Lipovsky
We formulate and prove a Gelfand-Levitan trace formula for general quantum graphs with arbitrary edge lengths and coupling conditions which cover all self-adjoint operators on quan…
The damped wave equation with unbounded damping
Pedro Freitas, Petr Siegl, Christiane Tretter
We analyze new phenomena arising in linear damped wave equations on unbounded domains when the damping is allowed to become unbounded at infinity. We prove the generation of a cont…
Characterization and parameterization of the singular manifold of a simple 6-6 Stewart platform
T. Charters, P. Freitas
This paper presents a study of the characterization of the singular manifold of the six-degree-of-freedom parallel manipulator commonly known as the Stewart platform. We consider a…
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…
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…