Soliton resolution for equivariant wave maps to the sphere

By Raphael Cote. 2013

67 citations recorded by the source corpus.

We consider finite energy corotationnal wave maps with target manifold $\m S^2$. We prove that for a sequence of times, they decompose as a sum of decoupled harmonic maps in the light cone, and a smooth wave map (in the blow case) or a linear scattering term (in the global case), up to an error which tends to 0 in the energy space.

View Paper: https://www.semanticscholar.org/paper/6daf2c1769422ee500c1fe6685c54672ff2bb124

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1. Hao Jia
2. Carlos E. Kenig
3. Aynur Bulut
4. B. Dodson
5. Gunther Uhlmann
6. Raphael Cote
7. Felipe Linares
8. Thomas Duyckaerts

Citations in the corpus

• Asymptotic decomposition for semilinear Wave and equivariant wave map equations (2015, methodology): “Let us recall the profile decomposition adapted to the equivariant wave map setting, introduced by Côte in [11].”