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A Strichartz inequality for the Schroedinger equation on non-trapping asymptotically conic manifolds
Andrew Hassell, Terence Tao, Jared Wunsch
We obtain an space-time Strichartz inequality for any smooth three-dimensional Riemannian manifold which is asymptotically conic at infinity and non-trapping, where $…
The radiation field is a Fourier integral operator
Antonio Sa Barreto, Jared Wunsch
We exhibit the form of the ``radiation field,'' describing the large-scale, long-time behavior of solutions to the wave equation on a manifold with no trapped rays, as a Fourier in…
On the structure of the Schrödinger propagator
Andrew Hassell, Jared Wunsch
We discuss the form of the propagator for the time-dependent Schrödinger equation on an asyptotically Euclidean, or, more generally, asymptotically conic, manifold with no t…
The Schroedinger propagator for scattering metrics
Andrew Hassell, Jared Wunsch
Let g be a scattering metric on a compact manifold X with boundary, i.e., a smooth metric giving the interior of X the structure of a complete Riemannian manifold with asymptotical…