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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2506.11805 |
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| _version_ | 1866909648519430144 |
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| author | Cheng, Li-Juan Yang, Rui-Yu |
| author_facet | Cheng, Li-Juan Yang, Rui-Yu |
| contents | In this paper, we establish a new global Hessian matrix estimate for heat-type equations on Riemannian manifolds using a Bismut-type Hessian formula. Our results feature fully explicit coefficients as well as delay / growth rate functions. These estimates yield two key applications: a novel backward weak Harnack inequality and a precise pointwise Hessian estimate for eigenfunctions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_11805 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hessian matrix estimates of heat-type equations via Bismut-Stroock Hessian formula Cheng, Li-Juan Yang, Rui-Yu Analysis of PDEs Differential Geometry 58J65, 35K08 In this paper, we establish a new global Hessian matrix estimate for heat-type equations on Riemannian manifolds using a Bismut-type Hessian formula. Our results feature fully explicit coefficients as well as delay / growth rate functions. These estimates yield two key applications: a novel backward weak Harnack inequality and a precise pointwise Hessian estimate for eigenfunctions. |
| title | Hessian matrix estimates of heat-type equations via Bismut-Stroock Hessian formula |
| topic | Analysis of PDEs Differential Geometry 58J65, 35K08 |
| url | https://arxiv.org/abs/2506.11805 |