In this paper we obtain a very general Gauss–Green formula for weakly differentiable functions and sets of finite perimeter. This result is obtained by revisiting Anzellotti's pairing theory and by characterizing the measure pairing (A,Du) when A is a bounded divergence measure vector field and u is a bounded function of bounded variation.

Anzellotti's pairing theory and the Gauss–Green theorem / Crasta, Graziano; De Cicco, Virginia. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 343:(2019), pp. 935-970. [10.1016/j.aim.2018.12.007]

Anzellotti's pairing theory and the Gauss–Green theorem

Crasta, Graziano;De Cicco, Virginia
2019

Abstract

In this paper we obtain a very general Gauss–Green formula for weakly differentiable functions and sets of finite perimeter. This result is obtained by revisiting Anzellotti's pairing theory and by characterizing the measure pairing (A,Du) when A is a bounded divergence measure vector field and u is a bounded function of bounded variation.
2019
Anzellotti's pairing; Divergence-measure fields; Coarea formula; Gauss–Green formula
01 Pubblicazione su rivista::01a Articolo in rivista
Anzellotti's pairing theory and the Gauss–Green theorem / Crasta, Graziano; De Cicco, Virginia. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 343:(2019), pp. 935-970. [10.1016/j.aim.2018.12.007]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1208245
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