Scattering norm estimate near the threshold for energy-critical focusing semilinear wave equation

Thomas Duyckaerts (1) , Frank Merle (1, 2)

1 AGM - UMR 8088 - Analyse, Géométrie et Modélisation
2 IHES - Institut des Hautes Études Scientifiques

We consider the energy-critical semilinear focusing wave equation in dimension $N=3,4,5$. An explicit solution $W$ of this equation is known. By the work of C.~Kenig and F.~Merle, any solution of initial condition $(u_0,u_1)$ such that $E(u_0,u_1)

Domaines: Equations aux dérivées partielles [math.AP]

Thomas Duyckaerts, Frank Merle. Scattering norm estimate near the threshold for energy-critical focusing semilinear wave equation. 2008. ⟨hal-00300386⟩