Low frequency resolvent estimates for long range perturbations of the Euclidean Laplacian

2009/03/31 by Jean-Francois Bony, Bony, Jean-Francois, Dietrich Hafner +1 · 1 citation
Mathematics · Physics and Astronomy · #35P25 #47A10 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP #msc:35P25 #msc:47A10

paper · pdf · doi:10.48550/arxiv.0903.5531

arxiv created 2009/03/31 · arxiv updated 2009/12/01

Abstract

Using Mourre theory, we obtain low frequency resolvent estimates with sharp weights for long range metric perturbations of the flat Laplacian.

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

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