Global Well-Posedness For Half-Wave Maps With $ S^2 $ and $ \mathbb{H}^2 $ Targets For Small Smooth Initial Data

2022 Communications on Pure and Applied Analysis  
We prove global well-posedness for the half-wave map with S 2 target for small Ḣ n 2 × Ḣ n 2 −1 initial data. We also prove the global wellposedness for the equation with
doi:10.3934/cpaa.2022148 fatcat:nwv2j7bjrzgsblaifwpvxhydiu