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.
An extension of the pairing theory between divergence-measure fields and BV functions / Crasta, Graziano; De Cicco, Virginia. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 276:8(2019), pp. 2605-2635. [10.1016/j.jfa.2018.06.007]
An extension of the pairing theory between divergence-measure fields and BV functions
Crasta, Graziano
;De Cicco, Virginia
2019
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.File allegati a questo prodotto
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