Title: Hyperboloidal similarity coordinates and a globally stable blowup profile for supercritical wave maps,
Abstract: We consider co-rotational wave maps from (1+3)-dimensional Minkowski space
into the three-sphere. This model exhibits an explicit blowup solution and we
prove the asymptotic nonlinear stability of this solution in the whole space
under small perturbations of the initial data. The key ingredient is the
introduction of a novel coordinate system that allows one to track the
evolution past the blowup time and almost up to the Cauchy horizon of the
singularity. As a consequence, we also obtain a result on continuation beyond
blowup.