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High Frequency Resolvent Estimates and Energy Decay of Solutions to the Wave Equation
Published online by Cambridge University Press: 20 November 2018
Abstract
We prove an uniform Hölder continuity of the resolvent of the Laplace-Beltrami operator on the real axis for a class of asymptotically Euclidean Riemannian manifolds. As an application we extend a result of Burq on the behaviour of the local energy of solutions to the wave equation.
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- Copyright © Canadian Mathematical Society 2004
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