Perimeter as relaxed Minkowski content in metric measure spaces

By Luigi Ambrosio, Nicola Gigli, Simone Di Marino. 2016

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In this note we prove that on general metric measure spaces the perimeter is equal to the relaxation of the Minkowski content w.r.t.\ convergence in measure

Subfields: Applied Mathematics, Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/55f5d3c46c0d303bae0288ce6ed7f61c74e8e8bc