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 In particular, we extend a representation formula from an unpublished paper of Anzellotti [7] involving the limit of cylindrical averages for normal traces, and we exploit a result of [35] in order to derive another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.
Comi, G.E., Crasta, G., De Cicco, V., Malusa, A. (2024). Representation formulas for pairings between divergence-measure fields and BV functions. JOURNAL OF FUNCTIONAL ANALYSIS, 286(1), 1-32 [10.1016/j.jfa.2023.110192].
Representation formulas for pairings between divergence-measure fields and BV functions
Comi, Giovanni E.
;
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 In particular, we extend a representation formula from an unpublished paper of Anzellotti [7] involving the limit of cylindrical averages for normal traces, and we exploit a result of [35] in order to derive another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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