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arXiv · 1804.06249

An extension of the pairing theory between divergence-measure fields and BV functions

Graziano Crasta·Virginia De Cicco
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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.

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Graziano Crasta, Virginia De Cicco. 2018-04-15. An extension of the pairing theory between divergence-measure fields and BV functions. https://doi.org/10.1016/j.jfa.2018.06.007

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