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Spreading of quasimodes in the Bunimovich stadium
Nicolas Burq, Andrew Hassell, Jared Wunsch
We consider Dirichlet eigenfunctions of the Bunimovich stadium , satisfying . Write where is the central rectangle and denotes the…
Absence of super-exponentially decaying eigenfunctions on Riemannian manifolds with pinched negative curvature
Andras Vasy, Jared Wunsch
Let (X,g) be a metrically complete, simply connected Riemannian manifold with bounded geometry and pinched negative curvature, i.e. there are constants a>b>0 such that -a^2<K<-b^2…
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…