The fractional Lipschitz caloric capacity of Cantor sets
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917326462386176 |
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| author | Hernández, Joan |
| author_facet | Hernández, Joan |
| contents | We characterize the s-parabolic Lipschitz caloric capacity of corner-like $s$-parabolic Cantor sets in $\mathbb{R}^{n+1}$ for $1/2<s\leq 1$. Despite the spatial gradient of the s-heat kernel lacking temporal anti-symmetry, we obtain analogous results to those known for analytic and Riesz capacities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00712 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The fractional Lipschitz caloric capacity of Cantor sets Hernández, Joan Analysis of PDEs We characterize the s-parabolic Lipschitz caloric capacity of corner-like $s$-parabolic Cantor sets in $\mathbb{R}^{n+1}$ for $1/2<s\leq 1$. Despite the spatial gradient of the s-heat kernel lacking temporal anti-symmetry, we obtain analogous results to those known for analytic and Riesz capacities. |
| title | The fractional Lipschitz caloric capacity of Cantor sets |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2506.00712 |