Low frequency estimates and local energy decay for asymptotically euclidean Laplacians

2010/03/31 by Jean-Marc Bouclet, Bouclet, Jean-Marc · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1003.6016

42 pages

arxiv created 2010/03/31 · arxiv updated 2010/04/01

Abstract

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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• Logarithmic wave decay for short range wavespeed perturbations with radial regularity

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