On the variational nature of the Anzellotti pairing
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866916429811417088 |
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| author | Crasta, Graziano De Cicco, Virginia |
| author_facet | Crasta, Graziano De Cicco, Virginia |
| contents | In this paper we prove that the Anzellotti pairing can be regarded as a relaxed functional with respect to the weak* convergence in the space BV of functions of bounded variation. The crucial tool is a preliminary integral representation of this pairing by means of suitable cylindrical averages. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_06469 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the variational nature of the Anzellotti pairing Crasta, Graziano De Cicco, Virginia Functional Analysis 28B05, 46G10, 26B30 In this paper we prove that the Anzellotti pairing can be regarded as a relaxed functional with respect to the weak* convergence in the space BV of functions of bounded variation. The crucial tool is a preliminary integral representation of this pairing by means of suitable cylindrical averages. |
| title | On the variational nature of the Anzellotti pairing |
| topic | Functional Analysis 28B05, 46G10, 26B30 |
| url | https://arxiv.org/abs/2207.06469 |