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Semiclassical estimates in asymptotically Euclidean scattering

Andras Vasy·Maciej Zworski
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Abstract

In this note we obtain semiclassical resolvent estimates for non-trapping long range perturbations of the Laplacian on asymptotically Euclidean manifolds. Our proof is based on a positive commutator argument which differs from Mourre-type estimates by making the commutant also positive. The resolvent estimates, including the weighting of the Sobolev spaces in the estimates, are an immediate consequence.

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Andras Vasy, Maciej Zworski. 1999-10-19. Semiclassical estimates in asymptotically Euclidean scattering. https://doi.org/10.1007/s002200000207

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