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Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory by Francesco Maggi

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13

The coarea formula and the approximation theorem

Let C1 denote the family of the open sets of images with C1 -boundary. The classical notion of perimeter, intended as the images -dimensional measure of the topological boundary, defines a functional images: C1 [0, images],

Distributional perimeter defines an extension of from C1 to the family of Lebesgue measurable ...

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