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} }
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.
One Citation
Uniqueness of
Two‐Bubble
Wave Maps in High Equivariance Classes
- MathematicsCommunications on Pure and Applied Mathematics
- 2022