Details

Autor(en) / Beteiligte

• Comi, Giovanni E.
• Crasta, Graziano
• De Cicco, Virginia
• Malusa, Annalisa

Titel

Representation formulas for pairings between divergence-measure fields and BV functions

Ist Teil von

• Journal of functional analysis, 2024-01, Vol.286 (1), p.110192, Article 110192

Ort / Verlag

Elsevier Inc

Erscheinungsjahr

2024

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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 In particular, we extend a representation formula from an unpublished paper of Anzellotti [7] involving the limit of cylindrical averages for normal traces, and we exploit a result of [35] in order to derive another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.