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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.04868 |
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| _version_ | 1866910904593940480 |
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| author | Halavati, Aria |
| author_facet | Halavati, Aria |
| contents | We establish a new class of $L^2$-weighted elliptic estimates on smooth two-manifolds for a family of weights satisfying an equation with explicit constants. This family includes weights that are comparable to the product of positive powers of the geodesic distance to a given collection of points. Our primary motivation is to derive estimates related to a weighted Hodge decomposition for one-forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_04868 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | New weighted inequalities on two-manifolds Halavati, Aria Analysis of PDEs We establish a new class of $L^2$-weighted elliptic estimates on smooth two-manifolds for a family of weights satisfying an equation with explicit constants. This family includes weights that are comparable to the product of positive powers of the geodesic distance to a given collection of points. Our primary motivation is to derive estimates related to a weighted Hodge decomposition for one-forms. |
| title | New weighted inequalities on two-manifolds |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2310.04868 |