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arXiv · 1107.5251

Improved local energy decay for the wave equation on asymptotically Euclidean odd dimensional manifolds in the short range case

Jean-Francois Bony·Dietrich Hafner
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Abstract

We show improved local energy decay for the wave equation on asymptotically Euclidean manifolds in odd dimensions in the short range case. The precise decay rate depends on the decay of the metric towards the Euclidean metric. We also give estimates of powers of the resolvent of the wave propagator between weighted spaces.

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Jean-Francois Bony, Dietrich Hafner. 2011-07-26. Improved local energy decay for the wave equation on asymptotically Euclidean odd dimensional manifolds in the short range case. https://arxiv.org/abs/1107.5251

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