• Corpus ID: 246294728

Optimal blowup stability for supercritical wave maps

@inproceedings{Donninger2022OptimalBS,
  title={Optimal blowup stability for supercritical wave maps},
  author={Roland Donninger and David Wallauch},
  year={2022}
}
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. 

Strichartz estimates and Blowup stability for energy critical nonlinear wave equations

. We prove Strichartz estimates in similarity coordinates for the radial wave equation with a self similar potential in dimensions d ≥ 3. As an application of these, we establish the asymptotic

Globally stable blowup profile for supercritical wave maps in all dimensions

  • 2022