4 papers · 1 filter
On scattering and profile decomposition for critical nonlinear waves outside weakly trapping obstacles
David Lafontaine, Camille Laurent
We prove scattering for the defocusing energy-critical non-linear wave equation with Dirichlet boundary conditions outside two strictly convex obstacles in dimension three. This is…
Scattering for Defocusing NLS with Inhomogeneous Nonlinear Damping and Nonlinear Trapping Potential
David Lafontaine, Boris Shakarov
We investigate an energy-subcritical defocusing nonlinear Schrödinger equation in subject to a lower order nonlinear trapping potential and a spatially dependent non…
Observability estimates for the Schrödinger equation on the equilateral triangle
Paul Alphonse, David Lafontaine
We prove observability estimates for the Schrödinger equation posed on the equilateral triangle in the plane, under both Neumann and Dirichlet boundary conditions. No geometric co…
Scattering for defocusing cubic NLS under locally damped strong trapping
David Lafontaine, Boris Shakarov
We are interested in the scattering problem for the cubic 3D nonlinear defocusing Schrödinger equation with variable coefficients. Previous scattering results for such problems ad…