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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.AP2024
On the set of non radiative solutions for the energy critical wave equation
Raphaël Côte, Camille Laurent
Non radiative solutions of the energy critical non linear wave equation are global solutions that furthermore have vanishing asymptotic energy outside the lightcone at both $t…
math.AP2024
A scattering operator for some nonlinear elliptic equations
Raphaël Côte, Camille Laurent
We consider non linear elliptic equations of the form for suitable analytic nonlinearity , in the vinicity of infinity in , that is on the com…