Non-local functionals, total variation, and Gamma-convergence with respect to area-strict convergence
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918274411790336 |
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| author | Lahti, Panu Li, Zhuolin |
| author_facet | Lahti, Panu Li, Zhuolin |
| contents | We study a class of non-local functionals that was introduced by Brezis--Seeger--Van Schaftingen--Yung, and can be used to characterize the total variation of functions. We establish the $Γ$-limit of these functionals with respect to area-strict convergence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06613 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-local functionals, total variation, and Gamma-convergence with respect to area-strict convergence Lahti, Panu Li, Zhuolin Functional Analysis 26B30, 26A46, 49J45 We study a class of non-local functionals that was introduced by Brezis--Seeger--Van Schaftingen--Yung, and can be used to characterize the total variation of functions. We establish the $Γ$-limit of these functionals with respect to area-strict convergence. |
| title | Non-local functionals, total variation, and Gamma-convergence with respect to area-strict convergence |
| topic | Functional Analysis 26B30, 26A46, 49J45 |
| url | https://arxiv.org/abs/2502.06613 |