Abstract

We prove that the half-wave maps problem on ${\mathbb{R}}^{4+1}$ with target S² is globally well-posed for smooth initial data which are small in the critical l¹ based Besov space. This is a formal analogue of the result proved by Tataru for wave maps.

中文翻译：

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n = 4 维半波图的小数据全局规律

摘要

我们证明了半波映射问题 ${\mathbb{电阻}}^{4+1}$目标S ²对于平滑初始数据是全局适定的，这些数据在基于临界l ¹的 Besov 空间中很小。这是 Tataru 证明的波图结果的形式模拟。