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Improved local energy decay for the wave equation on asymptotically Euclidean odd dimensional manifolds in the short range case
Published online by Cambridge University Press: 13 July 2012
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.
Keywords
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 12 , Issue 3 , July 2013 , pp. 635 - 650
- Copyright
- ©Cambridge University Press 2012
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