论文标题
关于Lorenz仪表中Yang-Mills系统流量图的平滑度的注释
A Note on the smoothness of flow maps for the Yang-Mills system in the Lorenz gauge
论文作者
论文摘要
我们研究了通过Knapp Type反例使用$(1+3)$(1+3)$尺寸Yang-Mills系统的流量图的平滑度的故障。这显示了在洛伦兹仪条件下的Yang-Mills系统中Picard的迭代中的缩放临界规则指数与最佳可达到的规律性之间的差距。
We study the failure of the smoothness of flow maps for the $(1+3)$ dimensional Yang-Mills system in the Lorenz gauge by Knapp type counterexamples. This shows a gap between the scaling critical regularity exponents and the best attainable regularity via Picard's iteration in the Yang-Mills system under the Lorenz gauge condition.