Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.01195 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915488850771968 |
|---|---|
| author | Hernández, Joan Mateu, Joan Prat, Laura |
| author_facet | Hernández, Joan Mateu, Joan Prat, Laura |
| contents | In this paper we study properties of a variant of the $1/2$-caloric capacity, called $1/2$-symmetric caloric capacity. The latter is associated simultaneously with the $1/2$-fractional heat equation and its conjugate. We establish its semi-additivity in $\mathbb{R}^{n+1}$ and, moreover, we compute explicitly the $1/2$-symmetric caloric capacity of rectangles, which illustrates its anisotropic behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01195 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the semi-additivity of the $1/2$-symmetric caloric capacity Hernández, Joan Mateu, Joan Prat, Laura Analysis of PDEs In this paper we study properties of a variant of the $1/2$-caloric capacity, called $1/2$-symmetric caloric capacity. The latter is associated simultaneously with the $1/2$-fractional heat equation and its conjugate. We establish its semi-additivity in $\mathbb{R}^{n+1}$ and, moreover, we compute explicitly the $1/2$-symmetric caloric capacity of rectangles, which illustrates its anisotropic behavior. |
| title | On the semi-additivity of the $1/2$-symmetric caloric capacity |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2405.01195 |