54 citations · 333 across the 36 of their papers we have counts for
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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…
Profile decomposition and scattering for general nonlinear Schr{ö}dinger equations
Thomas Duyckaerts, Phan van Tin
We consider a Schr{ö}dinger equation with a nonlinearity which is a general perturbation of a power'' nonlinearity. We construct a profile decomposition adapted to this nonlinearit…
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 ad…
Center stable manifolds for the radial semi-linear wave equation outside a ball
Thomas Duyckaerts, Jianwei Urban Yang
We consider the nonlinear wave equation, with a large exponent, power-like non-linearity, outside a ball of the Euclidean 3-dimensional space. In a previous article, we have proved…
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 integrabili…
Global solutions with asymptotic self-similar behaviour for the cubic wave equation
Thomas Duyckaerts, Giuseppe Negro
We construct a two-parameter family of explicit solutions to the cubic wave equation on . Depending on the value of the parameters, these solutions either scatter…