论文标题
有界平均振荡的向量场的正常迹线
Normal trace for vector fields of bounded mean oscillation
论文作者
论文摘要
我们介绍了在域中定义的有界平均振荡（$ bmo $）的矢量场的各种空间，以便当差异得到很好地控制时边界上的正常跟踪受到界限。对于我们的$ bmo $ vector字段，“正常”组件和“切向”组件的行为可能有所不同。结果，正常组件的零扩展名停留在$ bmo $中，尽管该属性可能无法适用于切向组件。
We introduce various spaces of vector fields of bounded mean oscillation ($BMO$) defined in a domain so that normal trace on the boundary is bounded when its divergence is well controlled. The behavior of "normal" component and "tangential" component may be different for our $BMO$ vector fields. As a result zero extension of the normal component stays in $BMO$ although such property may not hold for tangential components.
