On the properties of the set where a generalized function of bounded variation takes an infinite value (Q6123789)
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scientific article; zbMATH DE number 7828298
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the properties of the set where a generalized function of bounded variation takes an infinite value |
scientific article; zbMATH DE number 7828298 |
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On the properties of the set where a generalized function of bounded variation takes an infinite value (English)
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8 April 2024
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Summary: We study the properties of the set where a generalized function of bounded variation has infinite approximate limit, highlighting in this way the main geometric difference with functions of bounded variation. To this aim, we prove a new result on strict approximation of the sets of finite perimeter from the outside with open sets.
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generalized functions of bounded variation
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approximate limits
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sets of finite perimeter
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density of a set
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