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math.AP2026
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…
math.AP2026
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 nonl…