Positive commutators at the bottom of the spectrum |
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Authors: | Andrá s Vasy,Jared Wunsch |
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Affiliation: | a Department of Mathematics, Stanford University, United States b Department of Mathematics, Northwestern University, Evanston, IL, United States |
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Abstract: | Bony and Häfner have recently obtained positive commutator estimates on the Laplacian in the low-energy limit on asymptotically Euclidean spaces; these estimates can be used to prove local energy decay estimates if the metric is non-trapping. We simplify the proof of the estimates of Bony-Häfner and generalize them to the setting of scattering manifolds (i.e. manifolds with large conic ends), by applying a sharp Poincaré inequality. Our main result is the positive commutator estimate |
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Keywords: | Low energy Commutator Mourre Energy decay |
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