Optimal blowup stability for supercritical wave maps

2022/01/27 by Donninger, Roland, Wallauch, David
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2201.11419

Abstract

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.

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