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arXiv · 2106.10738

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

Jacek Jendrej·Andrew Lawrie
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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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Jacek Jendrej, Andrew Lawrie. 2021-06-20. Soliton resolution for energy-critical wave maps in the equivariant case. https://arxiv.org/abs/2106.10738

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