Riesz fractional gradient functionals defined on partitions: nonlocal-to-local variational limits
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912631528357888 |
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| author | Almi, Stefano Caponi, Maicol Friedrich, Manuel Solombrino, Francesco |
| author_facet | Almi, Stefano Caponi, Maicol Friedrich, Manuel Solombrino, Francesco |
| contents | This paper addresses the asymptotics of functionals with linear growth depending on the Riesz $s$-fractional gradient on piecewise constant functions. We consider a general class of varying energy densities and, as $s\to 1$, we characterize their local limiting functionals in the sense of $Γ$-convergence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04881 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Riesz fractional gradient functionals defined on partitions: nonlocal-to-local variational limits Almi, Stefano Caponi, Maicol Friedrich, Manuel Solombrino, Francesco Analysis of PDEs 49J45, 26A33, 35B27, 35R11, 26B30, 49Q20 This paper addresses the asymptotics of functionals with linear growth depending on the Riesz $s$-fractional gradient on piecewise constant functions. We consider a general class of varying energy densities and, as $s\to 1$, we characterize their local limiting functionals in the sense of $Γ$-convergence. |
| title | Riesz fractional gradient functionals defined on partitions: nonlocal-to-local variational limits |
| topic | Analysis of PDEs 49J45, 26A33, 35B27, 35R11, 26B30, 49Q20 |
| url | https://arxiv.org/abs/2510.04881 |