Local decay and asymptotic profile for the damped wave equation in the asymptotically Euclidean setting
Local decay and asymptotic profile for the damped wave equation in the asymptotically Euclidean setting
We prove local decay estimates for the wave equation in the asymptotically Euclidean setting. In even dimensions we go beyond the optimal decay by providing the large time asymptotic profile, given by a solution of the free wave equation. In odd dimensions, we improve the best known estimates. In particular, …