Low frequency estimates and local energy decay for asymptotically euclidean Laplacians

Details Low frequency estimates and local energy decay for asymptotically euclidean Laplacians Low frequency estimates and local energy decay for asymptotically euclidean Laplacians

2010-03-31

arxiv.org/abs/1003.6016v1

Mathematics

Analysis of PDEs

42 pages

Scientific paper

For Laplace-Beltrami operators associated to metrics which are long range
perturbations of the flat one, we prove estimates for powers of the resolvent
as the spectral parameter goes to zero. We also discuss applications to the
local energy decay for the Schroedinger, Wave and Klein Gordon equations.

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