论文标题
在lorenz仪表中Yang-Mills系统的临界规律性上
On the scaling critical regularity of the Yang-Mills system in the Lorenz gauge
论文作者
论文摘要
在本文中，我们证明了Lorenz量规上Yang-Mills系统的本地良好性，用于BESOV空间中的初始数据$ b^\ frac12_ {2,1} \ times b^{ - \ frac12} _ {2,1} $具有附加的角度正常。据我们所知，我们的研究是$（1+3）$ dimensional yang-mills系统的第一个结果，并具有缩放限制规律性的初始数据。
In this paper, we prove the local well-posedness of the Yang-Mills system in the Lorenz gauge for initial data in the Besov space $B^\frac12_{2,1}\times B^{-\frac12}_{2,1}$ with additional angular regularity. To the best of our knowledge, our study is the first result on $(1+3)$ dimensional Yang-Mills system with initial data in the scaling critical regularity.
