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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2405.08605 |
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| _version_ | 1866914572760252416 |
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| author | Mao, Sheng-Chen Zhang, Ye |
| author_facet | Mao, Sheng-Chen Zhang, Ye |
| contents | In this work, we give a sufficient condition for a step-two Carnot group to satisfy the quasi Bakry-Émery curvature condition. As an application, we establish the gradient estimate for the heat semigroup on the free step-two Carnot group with three generators $N_{3,2}$. Moreover, high order gradient estimates and the Riemannian counterparts are also deduced under an extra condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08605 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On gradient estimates of the heat semigroups on step-two Carnot groups Mao, Sheng-Chen Zhang, Ye Analysis of PDEs 58J35, 22E30, 35R03 In this work, we give a sufficient condition for a step-two Carnot group to satisfy the quasi Bakry-Émery curvature condition. As an application, we establish the gradient estimate for the heat semigroup on the free step-two Carnot group with three generators $N_{3,2}$. Moreover, high order gradient estimates and the Riemannian counterparts are also deduced under an extra condition. |
| title | On gradient estimates of the heat semigroups on step-two Carnot groups |
| topic | Analysis of PDEs 58J35, 22E30, 35R03 |
| url | https://arxiv.org/abs/2405.08605 |