10 citations · 10 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
Scattering to a stationary solution for the superquintic radial wave equation outside an obstacle
Thomas Duyckaerts, Jianwei Yang
We consider the focusing wave equation outside a ball of , with Dirichlet boundary condition and a superquintic power nonlinearity. We classify all radial stationary solution…
Blow-up of a critical Sobolev norm for energy-subcritical and energy-supercritical wave equations
Thomas Duyckaerts, Jianwei Yang
This work concerns the semilinear wave equation in three space dimensions with a power-like nonlinearity which is greater than cubic, and not quintic (i.e. not energy-critical). We…