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

Jendrej, Jacek; Lawrie, Andrew

doi:10.1090/jams/1012

Soliton resolution for energy-critical wave maps in the equivariant case
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by Jacek Jendrej and Andrew Lawrie;

J. Amer. Math. Soc.

DOI: https://doi.org/10.1090/jams/1012

Published electronically: December 3, 2024

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Abstract:

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.

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