On the properties of the set where a generalized function of bounded variation takes infinite value
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929249099710464 |
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| author | Cucinotta, Alessandro |
| author_facet | Cucinotta, Alessandro |
| contents | 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 sets of finite perimeter from the outside with open sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_13078 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the properties of the set where a generalized function of bounded variation takes infinite value Cucinotta, Alessandro Analysis of PDEs 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 sets of finite perimeter from the outside with open sets. |
| title | On the properties of the set where a generalized function of bounded variation takes infinite value |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.13078 |