Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: The nonradial case

Abstract

Following our previous paper in the radial case, we consider type II blow-up solutions to the energy-critical focusing wave equation. Let W be the unique radial positive stationary solution of the equation. Up to the symmetries of the equation, under an appropriate smallness assumption, any type II blow-up solution is asymptotically a regular solution plus a rescaled Lorentz transform of W concentrating at the origin. © European Mathematical Society 2012.