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arXiv · 1904.12709

Small data global regularity for half-wave maps in $n = 4$ dimensions

Anna Kiesenhofer·Joachim Krieger
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Abstract

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 for wave maps by Tataru.

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Anna Kiesenhofer, Joachim Krieger. 2019-04-29. Small data global regularity for half-wave maps in $n = 4$ dimensions. https://arxiv.org/abs/1904.12709

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