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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
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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