In this paper we develop a general, systematic, microlocal framework for the Fredholm
analysis of non-elliptic problems, including high energy (or semiclassical) estimates, which …

We prove Price's law with an explicit leading order term for solutions ϕ (t, x) of the scalar
wave equation on a class of stationary asymptotically flat (3+ 1)-dimensional spacetimes …

We prove the linear stability of slowly rotating Kerr black holes as solutions of the Einstein
vacuum equations: linearized perturbations of a Kerr metric decay at an inverse polynomial …

The purpose of this paper is to give a short microlocal proof of the meromorphic continuation
of the Ruelle zeta function for C^\infty Anosov flows. More general results have been …

A Kerr–de Sitter black hole is a solution. M; gƒ; m; a/of the Einstein vacuum equations with
cosmological constant ƒ> 0. It describes a black hole with mass m> 0 and specific angular …

We prove a local smoothing effect and Strichartz type estimates for the Schrödinger equation
on the exterior of a non-trapping obstacle. As a consequence we deduce global existence …

We describe asymptotic behavior of linear waves on Kerr (–de Sitter) black holes and more
general Lorentzian manifolds, providing a quantitative analysis of the ringdown …

We consider bounds on the number of semiclassical resonances in neighbourhoods of the
size of the semiclassical parameter, h, around energy levels at which the flow is hyperbolic …

We show the necessity of the nontrapping condition for the plain smoothing effect (H1/2) for
the Schrödinger equation with Dirichlet boundary conditions in exterior problems. We also …

We prove that for evolution problems with normally hyperbolic trapping in phase space,
correlations decay exponentially in time. Normally hyperbolic trapping means that the …