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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…
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 $…
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…
Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions
Andrew Hassell, Terence Tao
Suppose that is a compact Riemannian manifold with boundary and is an -normalized Dirichlet eigenfunction with eigenvalue . Let be its normal derivative at the…
Spectral and scattering theory for symbolic potentials of order zero
Andrew Hassell, Richard B. Melrose, András Vasy
The spectral and scattering theory is investigated for a generalization, to scattering metrics on two-dimensional compact manifolds with boundary, of the class of smooth potentials…