3 citations · 3 across the 2 of their papers we have counts for
6 papers
Scattering for critical radial Neumann waves outside a ball
Thomas Duyckaerts, David Lafontaine
We show that the solutions of the three-dimensional critical defocusing nonlinear wave equation with Neumann boundary conditions outside a ball and radial initial data scatter. Thi…
For most frequencies, strong trapping has a weak effect in frequency-domain scattering
David Lafontaine, Euan A. Spence, Jared Wunsch
It is well known that when the geometry and/or coefficients allow stable trapped rays, the outgoing solution operator of the Helmholtz equation (a.k.a. the resolvent of the Laplaci…
Strichartz estimates without loss outside many strictly convex obstacles
David Lafontaine
We prove Strichartz estimates without loss for the Schrödinger equation and the wave equation outside finitely many strictly convex obstacles verifying Ikawa's condition, extending…
Scattering for NLS with a sum of two repulsive potentials
David Lafontaine
We prove the scattering for a defocusing nonlinear Schrödinger equation with a sum of two repulsive potentials with strictly convex level surfaces, thus providing a scattering resu…
About the wave equation outside two strictly convex obstacles
David Lafontaine
We prove global Strichartz estimates without loss for the wave equation outside two strictly convex obstacles, following the roadmap introduced in [Lafontaine, 2017] for the Schröd…
Strichartz estimates without loss outside two strictly convex obstacles
David Lafontaine
We prove global Strichartz estimates without loss outside two strictly convex obstacles, combining arguments from M.Ikawa (1982,1988) with more recent ones inspired by N.Burq, C.Gu…