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Article Dans Une Revue Communications in Partial Differential Equations Année : 2011

Low frequency estimates and local energy decay for asymptotically euclidean Laplacians

Résumé

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.

Dates et versions

hal-00988710 , version 1 (09-05-2014)

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Jean-Marc Bouclet. Low frequency estimates and local energy decay for asymptotically euclidean Laplacians. Communications in Partial Differential Equations, 2011, 36 (7), pp.1239-1286. ⟨10.1080/03605302.2011.558553⟩. ⟨hal-00988710⟩
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