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arXiv · 2207.06469

On the variational nature of the Anzellotti pairing

Graziano Crasta·Virginia De Cicco
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Abstract

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.

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Graziano Crasta, Virginia De Cicco. 2022-07-13. On the variational nature of the Anzellotti pairing. https://arxiv.org/abs/2207.06469

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