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math.AP2024
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…
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 integrabili…