• Corpus ID: 246210494

Soliton resolution for energy-critical wave maps in the equivariant case

@inproceedings{Jendrej2021SolitonRF,
  title={Soliton resolution for energy-critical wave maps in the equivariant case},
  author={Jacek Jendrej and Andrew Lawrie},
  year={2021}
}

• Jacek Jendrej, A. Lawrie
• Published 20 June 2021
• Mathematics

We consider the equivariant wave maps equation $\mathbb{R}^{1+2} \to \mathbb{S}^2$, in all equivariance classes $k \in \mathbb{N}$. We prove that every finite energy solution resolves, continuously in time, into a superposition of asymptotically decoupling harmonic maps and free radiation.