We study quantum scattering on manifolds equivalent to the Euclidean space near infinity, in
the semiclassical regime. We assume that the corresponding classical flow admits a non …

In this article we study the pointwise decay properties of solutions to the wave equation on a
class of stationary asymptotically flat backgrounds in three space dimensions. Under the …

In this article, we study the pointwise decay properties of solutions to the wave equation on a
class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the …

We study dispersive properties for the wave equation in the Schwarzschild space-time. The
first result we obtain is a local energy estimate. This is then used, following the spirit of [29] …

In this article we study global-in-time Strichartz estimates for the Schrödinger evolution
corresponding to long-range perturbations of the Euclidean Laplacian. This is a natural …

The limiting absorption principle asserts that if H is a suitable Schrödinger operator, and f
lives in a suitable weighted L 2 space (namely H^ 0, 1/2+ σ H 0, 1/2+ σ for some σ> 0 σ> 0) …

This first article in a two-part series (the second article being [arXiv: 2205.13197]) assumes a
weak form of the integrated local energy decay estimate and proves that solutions to the …

This paper is a collection of results regarding resonance free strips (also known as spectral
gaps) and resolvent estimates in the presence of normally hyperbolic trapping. Such …

Strichartz-type estimates for one-dimensional surface water-waves under surface tension
are studied, based on the formulation of the problem as a nonlinear dispersive equation. We …

We use semiclassical propagation of singularities to give a general method for gluing
together resolvent estimates. As an application, we prove estimates for the analytic …