We prove global existence and decay for small-data solutions to a class of quasilinear wave
equations on a wide variety of asymptotically flat spacetime backgrounds, allowing in …

We prove resolvent estimates for a Schr\" odinger operator with a short-range potential
outside an obstacle with Dirichlet boundary conditions. As a consequence, we deduce …

We prove that solutions to the quintic semilinear wave equation with variable coefficients in
R 1+ 3 scatter to a solution to the corresponding linear wave equation. The coefficients are …

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 …

Strichartz estimates w/o loss outside many convex obstacles Page 1 arXiv:1811.12357v2 [math.AP]
8 Dec 2018 STRICHARTZ ESTIMATES WITHOUT LOSS OUTSIDE MANY STRICTLY …

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 result in a …

We establish integrated localized energy estimates for wave equations with small, time-
dependent pertubations in exterior domains with Dirichlet boundary conditions in the case …