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arXiv:2207.06469 [math.FA]AbstractReferencesReviewsResources

On the variational nature of the Anzellotti pairing

Graziano Crasta, Virginia De Cicco

Published 2022-07-13Version 1

In this paper we prove that the Anzellotti pairing can be regarded as a relaxed functional with respect to the weak* convergence to 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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