%0 Journal Article
%T Local energy decay for the wave equation with a time-periodic non-trapping metric and moving obstacle
%A Kian
%A Yavar
%J Cubo (Temuco)
%D 2012
%I Scientific Electronic Library Online
%R 10.4067/S0719-06462012000200008
%X consider the mixed problem with dirichelet condition associated to the wave equation , where the scalar metric periodic in t and uniformly equal to 1 outside a compact set in x, on a t-periodic domain. let be the associated propagator. assuming that the perturbations are non-trapping, we prove the meromorphic continuation of the cut-off resolvent of the floquet operator and we establish sufficient conditions for local energy decay.
%K time-dependent perturbation
%K moving obstacle
%K local energy decay
%K wave equation.
%U http://www.scielo.cl/scielo.php?script=sci_abstract&pid=S0719-06462012000200008&lng=en&nrm=iso&tlng=en