Abstract.
We prove uniform weighted high frequency estimates for the resolvent of the Laplace-Beltrami operator on connected infinite volume Riemannian manifolds under some natural assumptions on the metric on the ends of the manifold. This extends previous results by Burq [3] and Vodev [8].
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Submitted 13/11/01, accepted 14/05/02
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Cardoso, F., Vodev, G. Uniform Estimates of the Resolvent of the Laplace-Beltrami Operator on Infinite Volume Riemannian Manifolds. II. Ann. Henri Poincaré 3, 673–691 (2002). https://doi.org/10.1007/s00023-002-8631-8
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DOI: https://doi.org/10.1007/s00023-002-8631-8