Green's function estimates for time measurable parabolic operators on polyhedrons and polyhedral cones
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866917954808971264 |
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| author | Kim, Kyeong-Hun Lee, Kijung Seo, Jinsol |
| author_facet | Kim, Kyeong-Hun Lee, Kijung Seo, Jinsol |
| contents | We provide Green's function estimates for parabolic operators on polyhedrons and polyhedral cones in $\mathbb{R}^3$. These estimates incorporate mixed weights, which include appropriate powers of the distances to the vertices, the edges, and the boundary of the domains. The allowable ranges for the weight parameters are explicitly determined by the geometry of the domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09861 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Green's function estimates for time measurable parabolic operators on polyhedrons and polyhedral cones Kim, Kyeong-Hun Lee, Kijung Seo, Jinsol Analysis of PDEs We provide Green's function estimates for parabolic operators on polyhedrons and polyhedral cones in $\mathbb{R}^3$. These estimates incorporate mixed weights, which include appropriate powers of the distances to the vertices, the edges, and the boundary of the domains. The allowable ranges for the weight parameters are explicitly determined by the geometry of the domains. |
| title | Green's function estimates for time measurable parabolic operators on polyhedrons and polyhedral cones |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2503.09861 |