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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.16520 |
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| _version_ | 1866909897100099584 |
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| author | Hernández, Joan Mateu, Joan Prat, Laura |
| author_facet | Hernández, Joan Mateu, Joan Prat, Laura |
| contents | In the present paper we characterize the removable sets for solutions of the fractional heat equation satisfying some parabolic $\text{BMO}$ or $\text{Lip}_α$ normalization conditions. We do this by introducing associated fractional caloric capacities, that we show to be comparable to a certain parabolic Hausdorff content. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_16520 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On fractional parabolic $\text{BMO}$ and $\text{Lip}_α$ caloric capacities Hernández, Joan Mateu, Joan Prat, Laura Analysis of PDEs In the present paper we characterize the removable sets for solutions of the fractional heat equation satisfying some parabolic $\text{BMO}$ or $\text{Lip}_α$ normalization conditions. We do this by introducing associated fractional caloric capacities, that we show to be comparable to a certain parabolic Hausdorff content. |
| title | On fractional parabolic $\text{BMO}$ and $\text{Lip}_α$ caloric capacities |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2412.16520 |