Heat kernel gradient estimates for the Vicsek set
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910617681526784 |
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| author | Baudoin, Fabrice Chen, Li |
| author_facet | Baudoin, Fabrice Chen, Li |
| contents | We prove pointwise and $L^p$ gradient estimates for the heat kernel on the bounded and unbounded Vicsek set and applications to Sobolev inequalities are given. We also define a Hodge semigroup in that setting and prove estimates for its kernel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_03499 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Heat kernel gradient estimates for the Vicsek set Baudoin, Fabrice Chen, Li Analysis of PDEs Functional Analysis Metric Geometry We prove pointwise and $L^p$ gradient estimates for the heat kernel on the bounded and unbounded Vicsek set and applications to Sobolev inequalities are given. We also define a Hodge semigroup in that setting and prove estimates for its kernel. |
| title | Heat kernel gradient estimates for the Vicsek set |
| topic | Analysis of PDEs Functional Analysis Metric Geometry |
| url | https://arxiv.org/abs/2311.03499 |