论文标题
表示差异范围和$ bv $函数之间配对的表示公式
Representation formulas for pairings between divergence-measure fields and $BV$ functions
论文作者
论文摘要
本文的目的是找到偏角表示公式，以进行差异量的磁场和BV函数之间的配对密度，以这种方式继续进行研究[17,20]。特别是，我们从未发表的Anzellotti [7]的纸张中扩展了一个表示公式，该论文涉及正常痕迹的圆柱平均值的极限，并且我们利用[35]的结果，以在半球中以平均值的限制来得出另一个表示。
The purpose of this paper is to find pointwise representation formulas for the density of the pairing between divergence-measure fields and BV functions, in this way continuing the research started in [17,20]. In particular, we extend a representation formula from an unpublished paper of Anzellotti [7] involving the limit of cylindrical averages for normal traces, and we exploit a result of [35] in order to derive another representation in terms of limits of averages in half balls.
