13 citations · 26 across the 7 of their papers we have counts for
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math.SP2020
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…
math.SP2018★ 13 cited
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…
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…