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The theory of perimeters by Caccioppoli-de Giorgi and the recent developments (Q991047)

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scientific article; zbMATH DE number 5777593
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English
The theory of perimeters by Caccioppoli-de Giorgi and the recent developments
scientific article; zbMATH DE number 5777593

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    The theory of perimeters by Caccioppoli-de Giorgi and the recent developments (English)
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    2 September 2010
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    Summary: We illustrate the theory of sets of finite perimeter, starting from the pioneering intuitions of Caccioppoli and De Giorgi's seminal papers. In the second part of the paper we illustrate some more recent developments and open problems in metric measure spaces, in Carnot groups and in infinite-dimensional Gaussian spaces.
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    sets of finite perimeter
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    Caccioppoli sets
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    currents
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