An extension of the pairing theory between divergence-measure fields and BV functions
arXiv:1804.06249 · doi:10.1016/j.jfa.2018.06.007
Abstract
In this paper we introduce a nonlinear version of the notion of Anzellotti's pairing between divergence--measure vector fields and functions of bounded variation, motivated by possible applications to evolutionary quasilinear problems. As a consequence of our analysis, we prove a generalized Gauss--Green formula.
23 pages. arXiv admin note: text overlap with arXiv:1708.00792