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arxiv:2207.06469
On the variational nature of the Anzellotti pairing
Published on Oct 10, 2024
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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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