The purpose of this paper is to find pointwise representation formulas for the density of the pairing between divergence-measure fields and BV functions, in this way continuing the research started in [17,20]. In particular, we extend a representation formula from an unpublished paper of Anzellotti [7] involving the limit of cylindrical averages for normal traces, and we exploit a result of [35] in order to derive another representation in terms of limits of averages in half balls.
Representation formulas for pairings between divergence-measure fields and BV functions / Comi, Giovanni E.; Crasta, Graziano; De Cicco, Virginia; Malusa, Annalisa. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 286:1(2024). [10.1016/j.jfa.2023.110192]
Representation formulas for pairings between divergence-measure fields and BV functions
Crasta, Graziano;De Cicco, Virginia;Malusa, Annalisa
2024
Abstract
The purpose of this paper is to find pointwise representation formulas for the density of the pairing between divergence-measure fields and BV functions, in this way continuing the research started in [17,20]. In particular, we extend a representation formula from an unpublished paper of Anzellotti [7] involving the limit of cylindrical averages for normal traces, and we exploit a result of [35] in order to derive another representation in terms of limits of averages in half balls.| File | Dimensione | Formato | |
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