On the properties of the set where a generalized function of bounded variation takes an infinite value
Alessandro Cucinotta
University of Oxford, UK
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Abstract
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.
Cite this article
Alessandro Cucinotta, On the properties of the set where a generalized function of bounded variation takes an infinite value. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 34 (2023), no. 4, pp. 845–862
DOI 10.4171/RLM/1031