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Decay estimates for the Schroedinger evolution on asymptotically conic surfaces of revolution I

Wilhelm Schlag·Avy Soffer·Wolfgang Staubach
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Abstract

We establish a dispersive estimate (with a decay of 1/t), valid for all times, for the Schroedinger evolution on a non-compact 2-dimensional manifold with a trapped geodesic.

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Wilhelm Schlag, Avy Soffer, Wolfgang Staubach. 2006-08-03. Decay estimates for the Schroedinger evolution on asymptotically conic surfaces of revolution I. https://arxiv.org/abs/math/0608075

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