Optimal blowup stability for supercritical wave maps

We study corotational wave maps from (1 + 4)-dimensional Minkowski space into the 4-sphere. We prove the stability of an explicitly known self-similar wave map under perturbations that are small in the critical Sobolev space. (c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).

Automated summary

In this study, we investigate the stability of corotational wave maps from (1 + 4)-dimensional Minkowski space into the 4-sphere. We prove that a known self-similar wave map remains stable under small perturbations in the critical Sobolev space.