3 papers
math.AP2025
Classification of radial solutions of energy-critical wave systems
Thomas Duyckaerts, Tristan Roy
This work concerns a general system of energy-critical wave equations in the Minkowski space of dimension . The wave equations are coupled by the nonlinearities, which are hom…
math.AP2024
Dispersive estimates for wave and Schrödinger equations with a potential in non-trapping exterior domains
Thomas Duyckaerts, Jianwei Urban Yang
We prove resolvent estimates for a Schrödinger operator with a short-range potential outside an obstacle with Dirichlet boundary conditions. As a consequence, we deduce integrabil…
math.AP2024
Mass-energy Scattering Criterion For Double Power Schr{ö}dinger Equations
Thomas Duyckaerts, Phan van Tin
We consider the nonlinear Schr{ö}dinger equation with double power nonlinearity. We extend the scattering result in [17] for all L 2-supercritical powers, specially, our results a…