Andrew Hassell

most citedSpreading of quasimodes in the Bunimovich stadium

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math.AP2005★ 1 cited

Spreading of quasimodes in the Bunimovich stadium

Nicolas Burq, Andrew Hassell, Jared Wunsch

We consider Dirichlet eigenfunctions $u_{λ}$ of the Bunimovich stadium $S$ , satisfying $(Δ - λ^{2}) u_{λ} = 0$ . Write $S = R \cup W$ where $R$ is the central rectangle and $W$ denotes the…

math.AP2004

Riesz transform and $L^{p}$ cohomology for manifolds with Euclidean ends

Gilles Carron, Thierry Coulhon, Andrew Hassell

Let $M$ be a smooth Riemannian manifold which is the union of a compact part and a finite number of Euclidean ends, $\RR^n \setminus B(0,R)$ for some $R > 0$ , each of which carries…

math.AP2003★ 1 cited

A Strichartz inequality for the Schroedinger equation on non-trapping asymptotically conic manifolds

Andrew Hassell, Terence Tao, Jared Wunsch

We obtain an $L^{4}$ space-time Strichartz inequality for any smooth three-dimensional Riemannian manifold $(M, g)$ which is asymptotically conic at infinity and non-trapping, where $…

Spreading of quasimodes in the Bunimovich stadium

Riesz transform and Lp cohomology for manifolds with Euclidean ends

A Strichartz inequality for the Schroedinger equation on non-trapping asymptotically conic manifolds

Riesz transform and $L^{p}$ cohomology for manifolds with Euclidean ends