Graziano Crasta, Virginia De Cicco
Published 2018-04-15Version 1
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.
Comments: 23 pages. arXiv admin note: text overlap with arXiv:1708.00792
Representation formulas for pairings between divergence-measure fields and $BV$ functions
A note on the weak* and pointwise convergence of BV functions
On formulae decoupling the total variation of BV functions
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