Calculus of Variations and Geometric Measure Theory

G. Crasta - V. De Cicco

On the variational nature of the Anzellotti pairing

created by decicco on 13 Jul 2022
modified on 15 Jul 2022

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Inserted: 13 jul 2022
Last Updated: 15 jul 2022

Year: 2022

Abstract:

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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