## SMALL DATA GLOBAL REGULARITY FOR HALF-WAVE MAPS IN n = 4 DIMENSIONS

We prove that the half-wave maps problem on $\mathbb{R}^{4+1}$ with target $S^2$ is globally well-posed for smooth initial data which are small in the critical $l^1$ based Besov space. This is a formal analogue of the result [17].

Year:
May 15 2019
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