Local energy decay for the wave equation with a time-periodic non-trapping metric and moving obstacle

dc.creator	Kian, Yavar
dc.date	2012-06-01
dc.identifier	https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1346
dc.identifier	10.4067/s0719-06462012000200008
dc.description	Consider the mixed problem with Dirichelet condition associated to the wave equation ∂ 2t  u − divx(ɑ(t, x)∇x u) = 0, where the scalar metric ɑ(t, x) is T-periodic in t and uniformly equal to 1 outside a compact set in x, on a T-periodic domain. Let 𝘜(t, 0) 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 𝘜(T, 0) and we establish sufficient conditions for local energy decay.	en-US
dc.format	application/pdf
dc.language	eng
dc.publisher	Universidad de La Frontera. Temuco, Chile.	en-US
dc.relation	https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1346/1201
dc.source	CUBO, A Mathematical Journal; Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal; 153–173	en-US
dc.source	CUBO, A Mathematical Journal; Vol. 14 Núm. 2 (2012): CUBO, A Mathematical Journal; 153–173	es-ES
dc.source	0719-0646
dc.source	0716-7776
dc.subject	time-dependent perturbation	en-US
dc.subject	moving obstacle	en-US
dc.subject	local energy decay	en-US
dc.subject	wave equation	en-US
dc.title	Local energy decay for the wave equation with a time-periodic non-trapping metric and moving obstacle	en-US
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion