论文标题
关于Anzellotti配对的变异性质
On the variational nature of the Anzellotti pairing
论文作者
论文摘要
在本文中,我们证明了Anzellotti配对可以被视为相对于有界变异功能的空间BV中的弱*收敛性的松弛功能。至关重要的工具是通过合适的圆柱平均值对该配对的初步积分表示。
In this paper we prove that the Anzellotti pairing can be regarded as a relaxed functional with respect to the weak* convergence in the space BV of functions of bounded variation. The crucial tool is a preliminary integral representation of this pairing by means of suitable cylindrical averages.