## Anzellotti's pairing theory and the Gauss--Green theorem. (arXiv:1708.00792v2 [math.FA] UPDATED)

In this paper we obtain a very general Gauss-Green formula for weakly differentiable functions and sets of finite perimeter. This result is obtained by revisiting Anzellotti's pairing theory and by characterizing the measure pairing \$(\boldsymbol{A}, Du)\$ when \$\boldsymbol{A}\$ is a bounded divergence measure vector field and \$u\$ is a bounded function of bounded variation.查看全文

## Solidot 文章翻译

 你的名字 留空匿名提交 你的Email或网站 用户可以联系你 标题 简单描述 内容 In this paper we obtain a very general Gauss-Green formula for weakly differentiable functions and sets of finite perimeter. This result is obtained by revisiting Anzellotti's pairing theory and by characterizing the measure pairing \$(\boldsymbol{A}, Du)\$ when \$\boldsymbol{A}\$ is a bounded divergence measure vector field and \$u\$ is a bounded function of bounded variation.