An extension of the pairing theory between divergence-measure fields and BV functions
Functional Analysis
2019-05-23 v2
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.
Keywords
Cite
@article{arxiv.1804.06249,
title = {An extension of the pairing theory between divergence-measure fields and BV functions},
author = {Graziano Crasta and Virginia De Cicco},
journal= {arXiv preprint arXiv:1804.06249},
year = {2019}
}
Comments
23 pages. arXiv admin note: text overlap with arXiv:1708.00792