Anzellotti's pairing theory and the Gauss–Green theorem

By Graziano Crasta, Virginia De Cicco. Advances in Mathematics, 2017

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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 , D u ) when A is a bounded divergence measure vector field and u is a bounded function of bounded variation.

Subfields: Computational Theory and Mathematics, Mathematical Physics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/cec7a9514ec4b4700a38050c579d86c31a25c779