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arXiv · 1708.00792

Anzellotti's pairing theory and the Gauss--Green theorem

Graziano Crasta·Virginia De Cicco
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Abstract

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.

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Graziano Crasta, Virginia De Cicco. 2017-08-02. Anzellotti's pairing theory and the Gauss--Green theorem. https://doi.org/10.1016/j.aim.2018.12.007

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