Concentration Compactness for Critical Radial Wave Maps

@article{Chiodaroli2016ConcentrationCF,
  title={Concentration Compactness for Critical Radial Wave Maps},
  author={Elisabetta Chiodaroli and Joachim Krieger and Jonas L{\"u}hrmann},
  journal={Annals of PDE},
  year={2016},
  volume={4},
  pages={1-148}
}
We consider radially symmetric, energy critical wave maps from $$(1+2)$$(1+2)-dimensional Minkowski space into the unit sphere $$\mathbb {S}^m$$Sm, $$m \ge 1$$m≥1, and prove global regularity and scattering for classical smooth data of finite energy. In addition, we establish a priori bounds on a suitable scattering norm of the radial wave maps and exhibit concentration compactness properties of sequences of radial wave maps with uniformly bounded energies. This extends and complements the… Expand
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