We consider solutions to the linear wave equation on non-compact Riemannian manifolds without boundary when the geodesic flow admits a filamentary hyperbolic trapped set.We obtain a polynomial rate of local energy decay with exponent depending only on the dimension.
No takes yet. Share an insight, caveat, or question.
Hans Christianson (2009) studied this question.
Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context: