Calculus of Variations and Geometric Measure Theory
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V. De Cicco - G. Crasta

Anzellotti's pairing theory and the Gauss-Green theorem

created by decicco on 02 Aug 2017

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Submitted Paper

Inserted: 2 aug 2017
Last Updated: 2 aug 2017

Year: 2017

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 the Anzellotti's pairing theory and by characterizing the measure pairing (A, Du) when A is a bounded divergence measure vector field and u is a bounded function of bounded variation.


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