versión On-line ISSN 0719-0646
KIAN, Yavar. Local energy decay for the wave equation with a time-periodic non-trapping metric and moving obstacle. Cubo [online]. 2012, vol.14, n.2, pp. 153-173. ISSN 0719-0646. http://dx.doi.org/10.4067/S0719-06462012000200008.
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.
Palabras clave : time-dependent perturbation; moving obstacle; local energy decay; wave equation.