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

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.

32 pages

References in corpus (1)

• Dispersive estimates for Schrodinger operators in dimensions one and three

Cited by in corpus (2)

• Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations
• Dispersive Estimates for Manifolds with one Trapped Orbit