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.File allegati a questo prodotto
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