Representation formulas for pairings between divergence-measure fields and $BV$ functions
Functional Analysis
2023-10-09 v3
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 In particular, we extend a representation formula from an unpublished paper of Anzellotti [7] involving the limit of cylindrical averages for normal traces, and we exploit a result of [35] in order to derive another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.
Cite
@article{arxiv.2208.10812,
title = {Representation formulas for pairings between divergence-measure fields and $BV$ functions},
author = {Giovanni E. Comi and Graziano Crasta and Virginia De Cicco and Annalisa Malusa},
journal= {arXiv preprint arXiv:2208.10812},
year = {2023}
}
Comments
24 pages